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Summary Notes for all videos along with suggested readings in Prof. Strang's textbook Linear Algebra. Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor. Problem Sets to do on your own with Solutions to check your answers against when you're done.

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Then the following statements are A times x_p equals b means that the linear combination of c_1, c_2, and c_3 encoded in the vector x_p, which is [0, 1, 1], gives the vector b. So c_1, c_2, c_3 times [0, 1, 1] gives us [1, 4, 1, 1]. In other words, c_2 plus c_3 equal b. Let's turn our attention to A times x_s equals 0.

Let A = [a1 an] be an n n matrix, and let T: Rn! Rn be the linear transformation given by x 7!Ax. Then the following statements are A times x_p equals b means that the linear combination of c_1, c_2, and c_3 encoded in the vector x_p, which is [0, 1, 1], gives the vector b. So c_1, c_2, c_3 times [0, 1, 1] gives us [1, 4, 1, 1].
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1. Linear Equations in Linear Algebra. 1.1 Definitions and Terms. 1.1.1 Systems of Linear Equations. A linear equation in the variables Video created by Imperial College London for the course "Mathematics for Machine Learning: Linear Algebra".