Q25 of 256 Page 7

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

Given that |A|=2, we have to find |AAT|

Using |AB|=|A||B| and |AT|=|A|, we get


|AAT|=|A||AT|


=|A||A|


=2×2


=4


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