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  • Multiplying matrices (article) - Khan Academy
    The term scalar multiplication refers to the product of a real number and a matrix In scalar multiplication, each entry in the matrix is multiplied by the given scalar In contrast, matrix multiplication refers to the product of two matrices This is an entirely different operation It's more complicated, but also more interesting!
  • Intro to matrix multiplication (video) | Khan Academy
    Matrix multiplication is intimately connected to linear transformations In fact, matrix multiplication can be thought of as a way of representing and performing linear transformations Every matrix represents a linear transformation When you multiply a matrix by a vector, you're essentially applying that linear transformation to the vector For example, if you have a 2x2 matrix A and a 2
  • Properties of matrix multiplication (article) | Khan Academy
    Learn about the properties of matrix multiplication (like the distributive property) and how they relate to real number multiplication
  • Multiply matrices (practice) - Khan Academy
    Find the result of a multiplication of two given matrices
  • Matrices | Precalculus | Math | Khan Academy
    Learn what matrices are and about their various uses: solving systems of equations, transforming shapes and vectors, and representing real-world situations Learn how to add, subtract, and multiply matrices, and find the inverses of matrices
  • Matrix multiplication dimensions (article) | Khan Academy
    Learn about the conditions for matrix multiplication to be defined, and about the dimensions of the product of two matrices
  • Multiplying matrices (video) | Khan Academy
    Now the matrix multiplication is a human-defined operation that just happens-- in fact all operations are-- that happen to have neat properties Now the way that us humans have defined matrix multiplication, it only works when we're multiplying our two matrices
  • Intro to matrix multiplication (video) | Khan Academy
    Sometimes matrix multiplication can get a little bit intense We're now in the second row, so we're going to use the second row of this first matrix, and for this entry, second row, first column, second row, first column 5 times negative 1, 5 times negative 1 plus 3 times 7, plus 3 times 7
  • Distributive property of matrix multiplication - Khan Academy
    In this video, we verify distributive property of multiplication of matrices Just like scalars, we can mutliply matrices using distributive properties We first look at a scenario where we have 3x3 matrices We then pick a scenario where we have 2x2 matrices Finally, we also observe that A (B+C) is not the same as (B+C)A





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