What is Postmultiplication in Linear Algebra and Matrix Theory?

Postmultiplying is a operation that is used in linear algebra and matrix theory, it is the inverse of the multiplication of matrices.

Given two matrices A and B, the postmultiplication of A by B, denoted as AB, is the matrix C such that:

C = A(B)

In other words, the elements of C are obtained by applying the matrix B to the elements of A.

For example, if we have two matrices A = [a11, a12; a21, a22] and B = [b11, b12; b21, b22], then the postmultiplication of A by B is:

C = AB = [a11b11 + a12b21, a11b12 + a12b22; a21b11 + a22b21, a21b12 + a22b22]

I hope this helps! Let me know if you have any other questions.

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