Matrix _ Diagnol _ Multiplication

A diagonal matrix is a matrix with all zero on the off diagonal elements.

When multiplying  a matrix with a diagonal matrix , when the diagonal element is post-multiplying the matrix. The result is the same as the matrix but with the columns weighted each by the corresponding element in the diagonal .

When multiplying a diagonal  matrix with a  matrix the result is the same matrix but with the rows weighted each by the corresponding element in the diagonal .

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