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Let A be a square matrix of order 2 such that A-1 =AA^(T) (where I is an identity matrix of order 2), then which one of the following is INCORRECT statement (where |A| represents determinant value of matrix A) |
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Answer» |A|=1 TAKE TRANSPOSE both the SIDES `A^(T) - I =AA^(T)`………..(2) from (1) and (2) `A=A^(T)` `rArr A-I =A^(2)` `rArr |A| = 1, adj (A) = A^(-1)` Trace of (A) =1 |
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