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  1. Matrices | Algebra (all content) | Math | Khan Academy

    This topic covers: - Adding & subtracting matrices - Multiplying matrices by scalars - Multiplying matrices - Representing & solving linear systems with matrices - Matrix inverses - Matrix …

  2. Matrix word problem: prices (video) | Khan Academy

    Both a matrix and a spreadsheet are two-dimensional arrays of data. And you can use formulas in Excel to do matrix manipulations. But a spreadsheet is more versatile and thus more powerful …

  3. Identity matrix: intro to identity matrices (article) - Khan Academy

    In your 3rd paragraph, you show a right identity matrix such that AI=A and a left identity matrix (IA=A). The right and left identity matrices are equal only if A is square matrix.

  4. Transforming vectors using matrices (video) | Khan Academy

    In order to apply a transformation matrix onto another matrix or vector, you need to multiply the transformation matrix and the objective matrix/vector. Summing matrices or vectors is not how …

  5. Intro to matrices (video) - Khan Academy

    What I want to do in this video is explore the notion of a matrix outside of the context of a surprisingly good movie that involves Keanu Reeves. And it's actually the first of three.

  6. Intro to zero matrices (article) | Matrices | Khan Academy

    Learn what a zero matrix is and how it relates to matrix addition, subtraction, and scalar multiplication.

  7. Multiplying matrices (article) - Khan Academy

    When we multiply a matrix by a scalar (i.e., a single number) we simply multiply all the matrix's terms by that scalar. We can also multiply a matrix by another matrix, but this process is more …

  8. Representing graphs (article) | Algorithms | Khan Academy

    With an adjacency matrix, we can find out whether an edge is present in constant time, by just looking up the corresponding entry in the matrix. For example, if the adjacency matrix is …

  9. Solving a system of 3 equations and 4 variables using matrix row ...

    Hopefully this at least gives you a decent understanding of what an augmented matrix is, what reduced row echelon form is, and what are the valid operations I can perform on a matrix …

  10. Multiplying matrices (video) | Khan Academy

    Well, once you've got that 1000 by 3 matrix, there are very easy ways to manipulate it using matrix multiplication. Say you want to make your train 3 times bigger in the x direction and 1/2 …