Let A be a square matrix of order 3 such that transpose of inverse of A is A itself, then |adj (adj A)| is equal to92741

Question

Let A be a square matrix of order 3 such that transpose of inverse of A is A itself, then |adj (adj A)| is equal to92741
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Solution 1

The given condition is that the transpose of the inverse of matrix A is equal to A itself. This can be written as:

(A^-1)^T = A

Taking determinant on both sides, we get:

| (A^-1)^T | = |A|

We know that the determinant of the transpose of a matrix is the same as the determinant of the original ma Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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