If A = [(2, 1) (0, 3)], B [(1, 2) (3, -2)], verify that |AB| = |A|.|B|.

Question

If A =\(\begin{vmatrix}2&1\\0&3\end{vmatrix}, B \begin{vmatrix}1&2\\3&-2\end{vmatrix}\), verify that |AB| = |A|.|B|.

A = [(2, 1) (0, 3)], B [(1, 2) (3, -2)]

Answer 1

AB = \(\begin{vmatrix}2&1\\0&3\end{vmatrix} \begin{vmatrix}1&2\\3&-2\end{vmatrix}\)