Example of taking the product of two matrices
Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/matrix-product-associativity?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra
Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-2?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.
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https://www.youtube.com/watch?v=x1z0hOyjapU
Note: All Khan Academy content is available for free at (www.khanacademy.org)
What ionic solids are and their properties (strength, conductivity, melting point, etc.).
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https://www.youtube.com/watch?v=zax0lYlOdiI
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Proving AAS and ASA congruence criteria
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https://www.youtube.com/watch?v=5EX7tYQEB_M
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Created by Sal Khan.
View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/fafsa_intro?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics
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?utm_source=youtube&utm_medium=desc
Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc
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https://www.youtube.com/watch?v=7nKXXKn6jL8
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Testing a solution for a system of equations
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/systems-of-linear-equations/introduction_to_systems_of_linear_equations/e/verifying-solutions-to-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/graphical_representation_of_systems_of_equations/v/solving-the-troll-riddle-visually?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/systems-of-linear-equations/introduction_to_systems_of_linear_equations/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=SkMNREAMNvc
Note: All Khan Academy content is available for free at (www.khanacademy.org)
How is an informational text like Voltron, the giant robot made from other, smaller robots? Well, a text is made up of other, smaller sections of text, which are in turn made up of paragraphs and sentences—and each smaller component serves the larger component to drive towards the main point of the text. This is similar to how the lion-shaped robots combine to make a giant person-shaped robot; listen, don't think about it too hard or it falls apart.
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?utm_source=youtube&utm_medium=desc
Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc
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https://www.youtube.com/watch?v=-GY2Cj1w_PY
Note: All Khan Academy content is available for free at (www.khanacademy.org)
Multiply (3x+2)*(5x-7)
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/e/multiplying_expressions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-monomials-by-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
Missed the previous lesson?
https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-and-dividing-monomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI
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https://www.youtube.com/watch?v=ZMLFfTX615w
Note: All Khan Academy content is available for free at (www.khanacademy.org)
How are fractions and ratios the same? How are they different? Is 2:5 the same as 2/5?
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/e/representing-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems/v/ratio-word-problem-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/v/ratios-as-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
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https://www.youtube.com/watch?v=UK-_qEDtvYo
Note: All Khan Academy content is available for free at (www.khanacademy.org)