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Eigenvalues of a 3x3 matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy Teacherflix 20 Views • 2 years ago

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

Determining the eigenvalues of a 3x3 matrix

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvectors-and-eigenspaces-for-a-3x3-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-finding-eigenvectors-and-eigenspaces-example?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

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What Is an Asteroid? | Asteroids for kids | Learn all about asteroids Teacherflix 7 Views • 2 years ago

What is the difference between a comet, a meteor, and an asteroid? In this video, you and your kids will learn specifically about asteroids. Sometimes when you look at the night sky, you will see lots of lights in the sky. But not all of those shiny spots are starts. A few of them are planets. And a couple of them are actually asteroids!

Asteroids can be as small as a speck of dust, and they can be hundreds of miles in diameter! They are made of mostly rock, but they might contain clay or silicon, or even metal. Those metals are usually nickel or iron, but some asteroids contain precious metals like gold and platinum.

The asteroid belt between Mars and Jupiter contains most of the asteroids in our solar system. There are around a million asteroids that are over half a mile long! And there are millions more that are smaller. Ceres is the biggest asteroid in the belt, maybe even the solar system. It is so big that scientists consider it a dwarf planet! While most asteroids can't be seen from Earth, Vesta can be. Vesta is the second largest asteroid in the belt, but it is the brightest one in the sky. If it's in the right position, you can see it with the naked eye!

We hope you and your student(s) enjoyed learning about asteroids! If you want to learn even more, head over to our website and download one of our many free lesson plans about asteroids, full of activities, worksheets, and more!

https://learnbright.org/lesson....s/science/asteroids-

What you will learn in this video:
0:00 Introduction to asteroids and what they are
1:30 What is an asteroid made of, and what does it look like?
2:33 Asteroid belt between Mars and Jupiter
3:37 Can you see asteroids from Earth?
4:35 Are there asteroids near Earth?
4:59 Other cool facts about asteroids
5:34 How to see an asteroid from Earth
6:02 Review of asteroids

Thank you for watching and learning with us! We’re constantly releasing new content and videos, so click that “Subscribe” button and you’ll get notified.

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*Teachers and Parents! Did you know? In addition to these great videos, we have also created a library of high-quality and engaging lessons for your elementary aged student(s). Visit us, sign up for a free account, and instantly you'll have access to thousands of lesson plans, learning materials, teaching instructions, activities, and assignments that your kids will really enjoy! We hope to see you soon!

Browse our entire collection of Science lesson plans: https://learnbright.org/lessons/?filter_subject=science

#WhatIsAnAsteroid
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ASL What Is Kwanzaa? Teacherflix 9 Views • 2 years ago

If you have ever asked "What is Kwanzaa?" or "How is Kwanzaa celebrated?" then this is the video for you! In this video about Kwanzaa for kids we explore the celebrations and traditions of Kwanzaa. Kwanzaa is a wonderful holiday celebration that starts on December 26th and runs to January 1st.

Throughout the video we take a look at and explain the 7 symbols of Kwanzaa, which are:
1. Kikombe Cha Umoja - The unity cup.
2. Kinara - The candle holder that holds 7 candles.
3. Mazao - Fruits, nuts, and vegetables.
4. Mishumaa Saba - the seven candles of kwanzaa.
5. Mkeka - a Place Mat
6. Vibunzi - an Ear of Corn
7. Zawadi - gifts given on January 1st.

Watch the video to learn the actions that are associated with each of the symbols.

We also teach about and explain the 7 principles of Kwanzaa which are:
1. Umoja (oo-MOH-ja) which means Unity Building.
2. Kujichagulia (koo-jee-chagoo-
LEE-yah) which means Self-determination.
3. Ujima (oo-JEE-mah) which means Collective work and
responsibility.
4. Ujamaa (oo-JAH-ma) which means Cooperative economics.
5. Nia (nee-AH) which means Sense of purpose.
6. Kuumba (koo-OOM-bah) which means Creativity.
7. Imani (ee-MAH-nee) which means Faith

Together, the tradition of the seven symbols and seven principles of Kwanzaa are values of African culture
which contribute to building and reinforcing community among African Americans.

From the first day of the celebration on December 26th when the black candle in the center of the Kinara is lit to the final day of the celebration on January 1st when the final candle is lit, millions of people every year
will be celebrating Kwanzaa, a special week honoring the values or African cultures and inspiring African
Americans throughout the United States.

We hope you all have a wonderful and Happy Kwanzaa.

If you'd like to learn even more about Kwanzaa then please visit us at: https://learnbright.org/lesson....s/social-studies/wha to download our free 12 page lesson plan "What is Kwanzaa?" In this lesson you will learn even more about the symbols and principles of Kwanzaa with neatly designed content pages, activities, worksheets and more!

Thank you for watching and learning with us! We’re constantly releasing new content and videos so click that “Subscribe” button and you’ll notified.

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*Teachers and Parents! Did you know? In addition to these great videos, we have also created a library of high quality and engaging lessons for your elementary aged student(s). Visit us, sign up for a free account, and instantly you'll have access to thousands of lesson plans, learning materials, teaching instructions, activities, and assignments that your kids will really enjoy! We hope to see you soon!

Browse our entire collection of Social Studies lesson plans: https://learnbright.org/lessons/?filter_subject=social-studies

#ASL
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#Kwanzaa

Investigating Black Market Ventures | Trafficked Season 2 MEGA EPISODE | National Geographic Teacherflix 3 Views • 7 months ago

In this Season 2 Trafficked with Mariana van Zeller mega episode compilation, Mariana van Zeller takes us into the hidden world of black market trade. Featuring five full episodes:

Black Market Surgery
Mariana van Zeller investigates underground plastic surgery, from motel-room operations to a deadly revelation about Miami’s discount surgery centers.

Romance Scams
Mariana journeys from America’s heartland to the cafes of Ghana to meet the romance scammers fleecing Americans out of millions.

Black Market Marijuana
Mariana sets off on a wild journey through California’s black market for weed, which has mushroomed since marijuana legalization four years ago.

Outlaw Motorcycle Clubs
Mariana van Zeller investigates outlaw motorcycle gangs known as 1% clubs, learning about the bonds of brotherhood that fuel these violent groups.

Meth
Mariana van Zeller follows a meth superhighway from a cartel-run lab in Sinaloa across the border and into the lives of American users.

Trafficked with Mariana Van Zeller | S2, E1 - 5

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#MegaEpisode #TraffickedWithMarianaVanZeller #NationalGeographic

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Investigating Black Market Ventures | Trafficked Season 2 MEGA EPISODE | National Geographic
https://youtu.be/wAOMeo-DiiA

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The Strange Science of Why We Dream Teacherflix 3 Views • 7 months ago

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↓↓↓ More info and sources below ↓↓↓

It would be a lot easier to study the science of dreaming if we weren’t asleep every time we did it. Why do we dream? What does dreaming do for our brains? How did dreaming evolve? Here’s a look at the current theories from psychology and neuroscience.

References:
Barrett, D. (2017), Dreams and creative problem-solving. Ann. N.Y. Acad. Sci., 1406: 64-67. https://doi.org/10.1111/nyas.13412
Carlo Cipolli, Roberto Bolzani, Cesare Comoldi, Rossana De Beni, Iino Fagioli, Bizarreness Effect in Dream Recall, Sleep, Volume 16, Issue 2, March 1993, Pages 163–170, https://doi.org/10.1093/sleep/16.2.163
Eagleman DM, Vaughn DA (2021). The Defensive Activation Theory: REM Sleep as a Mechanism to Prevent Takeover of the Visual Cortex. Frontiers in Neuroscience. 15:632853. doi: 10.3389/fnins.2021.632853
El-Solh, A. A. (2018). Management of nightmares in patients with posttraumatic stress disorder: Current perspectives. Nature and Science of Sleep, 10, 409–420.https://pubmed.ncbi.nlm.nih.gov/30538593/
Hughes, J. Donald. (2000). Dream Interpretation in Ancient Civilizations. Dreaming. 10. 7-18. 10.1023/A:1009447606158.
Káli, S., Dayan, P. Off-line replay maintains declarative memories in a model of hippocampal-neocortical interactions. Nature Neuroscience 7, 286–294 (2004). https://doi.org/10.1038/nn1202
Montangero, Jacques & Ivanyi, Corinne & Saint-Hilaire, Zara. (2003). Completeness and accuracy of morning reports after a recall cue: Comparison of dream and film reports. Consciousness and cognition. 12. 49-62. 10.1016/S1053-8100(02)00029-6.
Stickgold, R., Malia, A.; Maguire, D., Roddenberry, D., O'Connor, M. (2000). Replaying the Game: Hypnagogic Images in Normals and Amnesics. Science. 290 (5490): 350–353. doi:10.1126/science.290.5490.350.
Valli, K., Revonsuo, A., Pälkäs, O., Ismail, K. H., Ali, K. J., & Punamäki, R.-L. (2005). The threat simulation theory of the evolutionary function of dreaming: Evidence from dreams of traumatized children. Consciousness and Cognition, 14(1), 188–218. https://pubmed.ncbi.nlm.nih.gov/15766897/
van der Linden, S. The Science Behind Dreaming. Scientific American. July 26, 2011
Erin J. Wamsley, PhD, Karen Perry, MD, Ina Djonlagic, MD, Laura Babkes Reaven, MD, Robert Stickgold, PhD, Cognitive Replay of Visuomotor Learning at Sleep Onset: Temporal Dynamics and Relationship to Task Performance, Sleep, Volume 33, Issue 1, January 2010, Pages 59–68, https://doi.org/10.1093/sleep/33.1.59
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