If A is a square matrix such that |A| = 2, write the value of |AA… - Vidyadip

Question

If $A$ is a square matrix such that $|A| = 2,$ write the value of $\big|\text{A}\text{A}^{\text{T}}\big|.$

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Answer

In a square matrix, $A = A^T.$ Since they are of same order, $AA^T = AA^T.$
Given, $A = 2$
$\Rightarrow AA^T= 2^2 = 4$

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