When and why you can't invert a matrix. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/v/matrix-equations-systems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-matrices-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus ... https://www.youtube.com/watch?v=UqyN7-tRS00 Note: All Khan Academy content is available for free at (www.khanacademy.org)

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/e/compound-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/getting-at-least-one-heads?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/compound-events-tree-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! ... https://www.youtube.com/watch?v=9mU3MVtsqic Note: All Khan Academy content is available for free at (www.khanacademy.org)

How bubbles destroy wealth. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/wealth-destruction-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/investment-vs-consumption-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. 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. ... https://www.youtube.com/watch?v=Q7HbtnOyKMg

Genes are located in the chromosomes of cells, with each chromosome pair containing two variants of each of many distinct genes. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate Volunteer here: https://www.khanacademy.org/contribute Credits: “Black mulberry (Morus nigra) illustration from Traité des Arbre” by Rawpixel Ltd (CC BY 2.0), via Flickr: https://www.flickr.com/photos/153584064@N07/46501444354 https://creativecommons.org/licenses/by/2.0/ “Guinea pigs” by photon_de (CC BY 2.0), via Flickr: https://www.flickr.com/photos/29005306@N08/2864103965 https://creativecommons.org/licenses/by/2.0/ “234/365 - ::ding:: a stroke of genius” by B Rosen (CC BY-ND 2.0), via Flickr: https://www.flickr.com/photos/82763263@N00/3572847910 https://creativecommons.org/licenses/by-nd/2.0/ "PLoSBiol3.5.Fig7ChromosomesAluFish" by Andreas Bolzer, Gregor Kreth, Irina Solovei, Daniela Koehler, Kaan Saracoglu, Christine Fauth, Stefan Müller, Roland Eils, Christoph Cremer, Michael R. Speicher, and Thomas Cremer (CC BY 2.5), via Wikimedia Commons: https://commons.wikimedia.org/wiki/File:PLoSBiol3.5.Fig7ChromosomesAluFish.jpg https://creativecommons.org/licenses/by/2.5/deed.en "Pea flowers" by Greenstone Girl (CC BY-NC 2.0), via Flickr: https://www.flickr.com/photos/19368730@N03/9586498821 https://creativecommons.org/licenses/by-nc/2.0/ "Sweet pea 'Lathyrus odoratus' violet flower at Boreham, Essex, England 4" by Acabashi (CC BY-SA 4.0), via Wikimedia Commons: https://commons.wikimedia.org/wiki/File:Sweet_pea_%27Lathyrus_odoratus%27_violet_flower_at_Boreham,_Essex,_England_4.jpg https://creativecommons.org/licenses/by-sa/4.0/deed.en Cell, chromosome, and DNA diagrams created with Biorender.com: https://biorender.com/ ... https://www.youtube.com/watch?v=SbagR2CpP_o Note: All Khan Academy content is available for free at (www.khanacademy.org)