If A = [ 2 3 - 4 - 6 ] , then which of the following is true?

Question

If $A = [\begin{matrix} 2 & 3 \\ - 4 & - 6 \end{matrix}],$ then which of the following is true?

Smart Achievers · Accepted Answer

(3)

Ans. $A (adj A) = (adj A) A =$ $| A |$ $I = [\begin{matrix} 0 & 0 \\ 0 & 0 \end{matrix}]$

Explanation:

We know that if $A$ is any square matrix of order $n$ , then $A (adj A) = (adj A) A =$ $| A |$ $\cdot I .$

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