Verify that A(B + C) = AB + AC in each of the following matrices: A= [(4, -2) (2, 3)], B = [(-1, 1) (3, -2)] and C = [(4, 1) (2, 1)]

Question

Verify that A(B + C) = AB + AC in each of the following matrices:

A= \(\begin{vmatrix}4&-2\\2&3\end{vmatrix}, B =\begin{vmatrix}-1&1\\3&-2\end{vmatrix} and\, C = \begin{vmatrix}4&1\\2&1\end{vmatrix}\)

A= [(4, -2) (2, 3)], B = [(-1, 1) (3, -2)] and C = [(4, 1) (2, 1)]

Answer 1

From (i) and (ii), we get A(B + C) = AB + AC.