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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 $ \textsuperscript{n-1}\\

Here n =2,

\\ \\ $ \Rightarrow $ $ \vert $ adj A$ \vert $ = $ \vert $ A$ \vert $ \textsuperscript{n-1} = $ \vert $ A$ \vert $ \\

Thus the statement given in question is false

Posted by

infoexpert22

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