If A is a square matrix such that |A| = 2, write the value of |AA T |.

Question

Philoid · Accepted Answer

Given that |A|=2, we have to find |AA^T|

Using |AB|=|A||B| and |A^T|=|A|, we get

|AA^T|=|A||A^T|

=|A||A|

=2×2

=4

If A is a square matrix such that |A| = 2, write the value of |AAT|.