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  • State True or False for the statements |adj. A| = |A|2, where A is a square matrix of order two.

State True or False for the statements

|adj. A| = |A|^2, where A is a square matrix of order two.

Answers (1)

For any square matrix of order n, adj A \vert = \vert A \vert^{n-1}\\

Here n =2,

\\ \\ \Rightarrow \vert adj A \vert = \vert A \vert^{n-1} = \vert A \vert \\

Thus the statement given in question is false

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infoexpert22

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