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How to multiply matrices

Instruction
How to multiply matrices
Consider an example. Multiply the matrices A and B shown in the figure. Successively find all the elements of the matrix C = AB.
with [1,1] = a [1,1] * b [1,1] + a [1,2] * b [2,1] + a [1,3] * b [3,1] = 3 * 2 + 2 * 5 + 0 * 3 = 16
c [1,2] = a [1,1] * b [1,2] + a [1,2] * b [2,2] + a [1,3] * b [3,2] = 3 * 1 + 2 * 4 + 0 * 2 = 11
c [2,1] = a [2,1] * b [1,1] + a [2,2] * b [2,1] + a [2,3] * b [3,1] = 1 * 2 + 3 * 5 + 1 * 3 = 20
c [2,2] = a [2,1] * b [1,2] + a [2,2] * b [2,2] + a [2,3] * b [3,2] = 1 * 1 + 3 * 4 + 1 * 2 = 15
How to multiply matrices
note
Square matrices can be multiplied in any order, but the result of AB will differ from BA.
If one of the matrices is diagonal and the elements on its diagonal are equal, then in this case, multiplying it by any square of the corresponding dimension is commutative: AD = DA.
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