Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/linear-algebra/al

Proof of formula for determining Eigenvalues

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-example-solving-for-the-eigenvalues-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-introduction-to-eigenvalues-and-eigenvectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
Subscribe to KhanAcademy: https://www.youtube.com/subscr....iption_center?add_us

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/ap-calculus-bc/bc


In some cases where the direct comparison test is inconclusive, we can use the limit comparison test. Learn more about it here.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channe....l/UC5A2DBjjUVNz8axD-
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

This reading lesson will help kids develop their reading skills. Kids are expected to become fast readers and comprehend different English words throughout this reading lesson.
#ReadingLessonForBeginners
#ReadingTutorialforBeginners
#readinglessonforkids
#teacherayaonlinetutor
#practicereadingenglish
#practicereadingenglish
#learnhowtoread
#LearningIsFun
#englishgrade1
#EnglishReadingLessonGrade1
#EnglishReadingLessonGrade3
#EnglishReadingLessonKinder
#SHORTSTOYWITHQUIZ
#shortstory
#OnlineReadingLesson
#teacherayaonlinetutor

Subscribe Now:
http://www.youtube.com/subscri....ption_center?add_use

Watch More:
http://www.youtube.com/ehow

Language arts skills learned in kindergarten can include things like different vowels. Find out about language arts skills learned in kindergarten with help from a certified K-12 teacher in the state of Ohio in this free video clip.

Expert: Ebony Watts
Filmmaker: Lorenzo Jackson

Series Description: Kindergarten lessons can be great, fun ways to teach kids about everything ranging from history to math and everything in between. Get tips on creating great kindergarten lessons with help from a certified K-12 teacher in the state of Ohio in this free video series.

The Languages in the K-12 Programs
Video #1
By: Emerald May A. Francisco
III-CC2

Mini Lesson Demonstration for Teachers of Newcomer Students:

This is a quick intro/spiral review of fact families and math vocabulary words: plus, minus, and equal. It also includes shapes and left/right. As always, read the paragraph out loud with your Newcomers several times.

Hope you enjoyed the lesson! Don't forget to click the bell button, give the video a like and comment below.

Thanks for all the support!

SUBSCRIBE to Ms. Newcomer Teacher ⇒ https://www.youtube.com/channe....l/UCOZSs3y7S0QbKYT4Z

________________________________
MUSIC:
Wanderlust by Declan DP: https://soundcloud.com/declandp/wande...
Attribution 3.0 Unported (CC BY 3.0)
https://creativecommons.org/licenses/...
Music provided by Free Vibes: https://goo.gl/NkGhTg

Beth Lawrence, M.A., CCC-SLP, Visual Critical Thinking as a Way to Learn Nuanced Vocabulary
Beth Lawrence holds a Master of Arts degree in speech-language pathology from Northwestern University. She worked in schools, and had a private practice in the Baltimore area for 17 years. She partnered with Deena Seifert, and together they have over 50 years combined experience working with students of all ages with language, reading and writing disorders. Deena and Beth created two highly visual vocabulary programs, InferCabulary and WordQuations. They authored the Test of Semantic Reasoning, which assesses depth of vocabulary knowledge and critical thinking.
Summary:
The session will include both low and high tech methods for helping students really “get” vocabulary. A five minute TedX Talk introduction shares research and background support for how children make meaning from language. Participants are introduced to InferCabulary online then discuss best practices and strategies.
Sneak Peek in the Chat Box:
“The website is extensive.”
InferCabulary correlates well with required reading and vocabulary.”

Beth Lawrence, M.A., CCC-SLP
CEO, Co-Founder / InferCabulary by Communication Apptitude
Contact Information:
M: (410) 375-5374 F: (410) 630-6813
E: beth@infercabulary.com W: Infercabulary.com
https://www.linkedin.com/in/bethlawrenceslp/

This event was sponsored by Felser Limited, Education Management and Software company, based in the UK. Felser develop PAGS® (Profile Assessment and Goal Setting), an innovative online profiling and progress monitoring tool for all learners who need help to achieve their expected level. This digital communication platform enables skill development in neuro-diverse learners aged 5-25 with social communication difficulties, related to social, emotional behavioural and cognitive functioning.
For more information, visit our website www.pagsprofile.com
Email: info@pagsprofile.com
Tel: +447756265545

Teach your students how to resolve their differences with negotiation and compromise, and why it's a bad thing to always get your way: https://brnpop.co/34E5tot

People are not always going to get along everyone. And anger and frustration are natural human emotions, so there’s no way to avoid feeling them. But there are ways to disagree without being disagreeable—and in this BrainPOP movie on conflict resolution, Tim and Moby will teach your students all about them!

Students will find out why it’s a good idea to take a deep breath and collect themselves before they respond to a situation they're not thrilled about. They'll discover different ways to compromise, and how placing themselves in another person’s shoes can change a potential screaming match into a friendly discussion.

---------

Visit the #ConflictResolution topic on #BrainPOP for accompanying creative and instructional tools that develop higher-order thinking skills in kids K–12: https://brnpop.co/34E5tot

---------

Subscribe to BrainPOP on YouTube: https://brnpop.co/2TplJUG

Follow BrainPOP:
Facebook | https://www.facebook.com/brainpopofficial
Twitter | https://twitter.com/brainpop
Instagram | https://instagram.com/brainpop_official

Have questions? Visit our Help Center: https://brnpop.co/2WFStKG

---------

Full transcript with action descriptions: https://brnpop.co/3mIIZc6

#SEL #socialemotionallearning

What does school mean to you?
Across Asia, an increasing number of schools have started using Google for Education – from Chromebooks, Google Classroom to Google Workspace for Education – while redefining the meaning of school, in their own unique ways.

Visit edu.google.com/new-school/ for more stories

🚀 Get a FREE SEO strategy Session + Discount Now: https://go.juliangoldie.com/strategy-session
- PLUS get 25% extra FREE on long term contracts!

🤯 Want more money, traffic and sales from SEO? Join the SEO Elite Circle👇
https://go.juliangoldie.com/register

Click below for FREE access to ✅ 50 FREE AI SEO TOOLS 🔥 200+ AI SEO Prompts! 📈 FREE AI SEO COMMUNITY with 2,000 SEOs ! 🚀 Free AI SEO Course 🏆 Plus TODAY's Video NOTES...
https://go.juliangoldie.com/chat-gpt-prompts

- Join our FREE AI SEO Accelerator here: https://www.facebook.com/groups/aiseomastermind
- Need consulting? Book a call with us here: https://link.juliangoldie.com/....widget/bookings/seo-

Automate Anything with Deep Seek R One: A Comprehensive Guide

Discover how to supercharge your productivity by automating tasks with Deep Seek R One, using Make and other tools. From emails to social media and even apps, this tutorial will show you the process step-by-step, including how to integrate APIs and access hundreds of free automations through Make.com. Learn unique techniques and unlock powerful automation hacks to streamline your workflow.

00:00 Introduction to Deep Seek R One Automation
00:17 Overview of Automation Capabilities
00:43 Using Make and API Integration
00:54 Accessing Free Automations
01:06 Setting Up Your API

https://www.patreon.com/homeschoolpop Get ready for fun with this Solar System for kids video! This kid-friendly science video is perfect for classrooms, homeschoolers, and curious kids of all ages. You will learn about the Moon, the Sun, and the 8 primary planets! It's going to be a blast!

00:00 The Moon and its phases
22:56 The Sun
28:50 The planets

Music credits:
Frozen Star; Digital Lemonade, Blippy Trance, Wallpaper, Pleasant Porridge, Welcome to the Show, Electrodoodle, Sock Hop, Night on the Docks, Electro Caballo, Fuzzball Parade, Jellyfish in Space
by Kevin MacLeod
Link: https://incompetech.filmmusic.io
License: http://creativecommons.org/licenses/by/4.0/

Thanks for watching!

Daniel
"Homeschool Pop"

This US States learning video for kids explores facts about North Dakota! Also known as the Peace Garden State and the Flickertail State, this is a beautiful state with incredible places!

❤ Homeschool Pop? Join our team and get tattoos here: http://homeschoolpop.com

☃ You are SO cool! Say hello below, we would love to hear from you!

Thanks for watching this Homeschool Pop US States learning video on North Dakota!


Thanks again and we hope to see you on the next US States video!




North Dakota for Kids | US States Learning Video

https://www.patreon.com/homeschoolpop Learn the plant parts and functions in this science lesson for kids.
You will learn about the roots, stems, leaves, flowers, fruit, and seeds! You will also learn about how all of these parts function. It will be amazing!

0:00 How many plant parts are there?
1:23 Roots
2:15 Stems
3:07 Leaves
3:51 Flowers
5:15 Fruit
6:11 Seeds
7:44 Quiz

❤️ Homeschool Pop? Join our team and get tattoos here: http://homeschoolpop.com

Thanks for watching! Be sure and subscribe if you haven't yet, and be sure and like and share the video! You can also comment below for a chance to be featured on one of our future videos!!
http://homeschoolpop.com

Thanks, and we will see you next time!

Heisenberg's uncertainty principle tells us that it is impossible to simultaneously measure the position and momentum of a particle with infinite precision. In our everyday lives we virtually never come up against this limit, hence why it seems peculiar. In this experiment a laser is shone through a narrow slit onto a screen. As the slit is made narrower, the spot on the screen also becomes narrower. But at a certain point, the spot starts becoming wider. This is because the photons of light have been so localised at the slit that their horizontal momentum must become less well defined in order to satisfy Heisenberg's uncertainty principle.

I based this video on one by Prof. Walter Lewin of MIT: http://bit.ly/100Wk2K

Henry (MinutePhysics) has previously made a video about Heisenberg's Uncertainty Principle where he treats it as less spooky and more a consequence of waves: http://bit.ly/TV3xO5

Sixty Symbols has a great video on Planck's constant: http://bit.ly/11upebY

Thanks to the University of Sydney for hosting this experiment, especially to Tom and Ralph for their assistance getting it working.

Music: Kevin McLeod (Incompetech.com) Mirage and Danse Macabre

Electric cars are now ready to take over thanks to advances in battery technology and their inherent benefits: torque, handling, maintenance. This video was sponsored by BMW: https://www.bmwusa.com/

Full disclosure: I drive an #electric #car. I think electric cars are the future, not mainly because they're better for the environment (which they are if you drive the car for any reasonable length of time) but because they are just better cars. The have better torque and acceleration, better handling, they're more efficient, quieter, they don't smell, they're cheaper to run and best of all you never have to visit a gas station - this appeals to me. I never have to worry about being low on gas because every morning my car is charged and ready to go - just like my phone and laptop. And if you're worried about range, don't. Almost all trips can already be done in an electric car with modest battery pack. And fast chargers along the way make it possible to do longer road trips if necessary. You have to make rest stops anyway, just time them with the charging. And consider that battery tech is getting dramatically cheaper, smaller, lighter. All these reasons are why I see the #future of cars as electric.

Writing & Research
Derek Muller
Jonny Hyman
Matthew Shribman https://ve42.co/sciencebath

Editing, Animation, Audio, & Music:
Jonny Hyman

Camerawork:
Raquel Nuno
Jonny Hyman

1890s Music "National fantasie" by William Paris Chambers, archived in Library of Congress
#BMWUSA #NEXTGen #BMWPartner #ad

A bisected grape in the microwave makes plasma. But how does it work? A grape is the right size and refractive index to trap microwaves inside it. When you place two (or two halves) close together the fields interact with each other creating a maximum of electromagnetic energy where they touch. This creates heating, sparks, and plasma, which is further fed with energy directly by the microwaves.

Huge thanks to Hamza Khattak, Prof. Pablo Bianucci and Prof. Aaron Slepkov (unavailable for the call) for chatting to me and helping me understand the physics of this cool phenomenon.

Linking plasma formation in grapes to microwave resonances of aqueous dimers
https://www.pnas.org/cgi/doi/1....0.1073/pnas.18183501

Special thanks to Patreon supporters:
Donal Botkin, James M Nicholson, Michael Krugman, Nathan Hansen, Ron Neal, Stan Presolski, Terrance Shepherd

Thanks also to Steve Bosi, my original plasma collaborator.

Animations by Alan Chamberlain

Music from http://epidemicsound.com "Seaweed"

The last star in the universe will be a red dwarf. Red dwarfs in general might be great places to look for aliens – or planets for humans to find a new home after our solar system has died.


OUR CHANNELS
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
German Channel: https://kgs.link/youtubeDE
Spanish Channel: https://kgs.link/youtubeES


HOW CAN YOU SUPPORT US?
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
This is how we make our living and it would be a pleasure if you support us!

Get Merch designed with ❤ from https://kgs.link/shop
Join the Patreon Bird Army 🐧 https://kgs.link/patreon


DISCUSSIONS & SOCIAL MEDIA
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Reddit: https://kgs.link/reddit
Instagram: https://kgs.link/instagram
Twitter: https://kgs.link/twitter
Facebook: https://kgs.link/facebook
Discord: https://kgs.link/discord
Newsletter: https://kgs.link/newsletter


OUR VOICE
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
The Kurzgesagt voice is from
Steve Taylor: https://kgs.link/youtube-voice


OUR MUSIC ♬♪
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
700+ minutes of Kurzgesagt Soundtracks by Epic Mountain:

Spotify: https://kgs.link/music-spotify
Soundcloud: https://kgs.link/music-soundcloud
Bandcamp: https://kgs.link/music-bandcamp
Youtube: https://kgs.link/music-youtube
Facebook: https://kgs.link/music-facebook

The Soundtrack of this video:

https://epicmountainmusic.band....camp.com/track/red-d
https://soundcloud.com/epicmountain/red-dwarfs
http://epic-mountain.com


🐦🐧🐤 PATREON BIRD ARMY 🐤🐧🐦
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Many Thanks to our wonderful Patreons from http://kgs.link/patreon who support us every month and made this video possible!


The Last Star in the Universe – Red Dwarfs Explained

Help us caption & translate this video!

http://www.youtube.com/timedtext_cs_panel?c=UCsXVk37bltHxD1rDPwtNM8Q&tab=2

Sources:
https://sites.google.com/view/....sources-complement-s

One of the key players of our immune system is the complement system. An army of millions and trillions of tiny bombs, which work together in a complex and elegant dance to stop intruders in your body.


OUR CHANNELS
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
German Channel: https://kgs.link/youtubeDE
Spanish Channel: https://kgs.link/youtubeES


HOW CAN YOU SUPPORT US?
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
This is how we make our living and it would be a pleasure if you support us!

Get Merch designed with ❤ from https://kgs.link/shop
Join the Patreon Bird Army 🐧 https://kgs.link/patreon


DISCUSSIONS & SOCIAL MEDIA
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Reddit: https://kgs.link/reddit
Instagram: https://kgs.link/instagram
Twitter: https://kgs.link/twitter
Facebook: https://kgs.link/facebook
Discord: https://kgs.link/discord
Newsletter: https://kgs.link/newsletter


OUR VOICE
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
The Kurzgesagt voice is from
Steve Taylor: https://kgs.link/youtube-voice


OUR MUSIC ♬♪
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
700+ minutes of Kurzgesagt Soundtracks by Epic Mountain:

Spotify: https://kgs.link/music-spotify
Soundcloud: https://kgs.link/music-soundcloud
Bandcamp: https://kgs.link/music-bandcamp
Youtube: https://kgs.link/music-youtube
Facebook: https://kgs.link/music-facebook

The Soundtrack of this video:

Soundcloud: https://bit.ly/2Y7VEO4
Bandcamp: https://bit.ly/2Yux1ut
Facebook: https://bit.ly/2GIoZlH
Youtube: https://bit.ly/2CZ6PeN


🐦🐧🐤 PATREON BIRD ARMY 🐤🐧🐦
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Many Thanks to our wonderful Patreons from http://kgs.link/patreon who support us every month and made this video possible:

Hannah & Jonah, Joey Asperger, Benjamin Rister, BaekSoungYeol, Gibok Jung, Tim Meulenbroeks, Chingiz, Chloe Hill, Filip Dabrowski, Ben Palmetshofer, Ludovic Audibert, Guruprasad Kulkarni, Tekant Gündoğan, Sali Morris, roberto vargas, Richard Musiol, Cedric T., Papp Roland, John Issa, Katie, Jonas Svendsen, François Balate, Connor Silva, Daniel, Buck Deerson, Teej, Abel, Harm, Goshia, John Chapman, Andrew Nguyen, Olivia Grubert, Sergei Kukhariev, Skeeh, adc400, Facundo Velasco, Dale agace, Kiran Babla


Help us caption & translate this video!https://www.youtube.com/timedtext_cs_panel?c=UCsXVk37bltHxD1rDPwtNM8Q&tab=2