For any 2 times 2 matrix A,if A(text{adj } A) | vedclass

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(B) We know that for any square matrix $A$ of order $n$,the property $A(	ext{adj } A) = |A|I$ holds,where $I$ is the identity matrix of order $n$.Giv

Vedclass · Accepted Answer

$10$

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(B) We know that for any square matrix $A$ of order $n$,the property $A(	ext{adj } A) = |A|I$ holds,where $I$ is the identity matrix of order $n$.Given that $A$ is a $2 	imes 2$ matrix,we have $A(	ext{adj } A) = |A| \begin{bmatrix} 1 & 0 \ 0 & 1 \end{bmatrix} = \begin{bmatrix} |A| & 0 \ 0 & |A| \end{bmatrix}$.Comparing this with the given matrix $\begin{bmatrix} 10 & 0 \ 0 & 10 \end{bmatrix}$,we get $|A| = 10$.

For any $2 \times 2$ matrix $A$,if $A(\text{adj } A) = \begin{bmatrix} 10 & 0 \\ 0 & 10 \end{bmatrix}$,then $|A| = $

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