Multiplication of Matrices pre-multiplication and post multiplication of matrices

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Full explanation on pre multiplication and post multiplication of matrices

If the vector is on the left side of the matrix, it's a 1 X 3 Row Vector. With a row vector, we use Pre Multiplication. If the vector is on the right side of the matrix, it's a 3 X 1 Column Vector. With column vectors we use Post Multiplication

Premultiplication of a matrix A by a diagonal matrix D results in a matrix in which each entry in a given row is the product of the original entry in A corresponding to that row and the diagonal element in the corresponding row of the diagonal matrix.

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