12. Consider the matrices O 1 0 [o 1 A B = 1 0 1 1 0 1 0 1 0 0 07 O 10 0 0 0 0 1 0 1 0 0 1 [o 0 0 1 0] 1 0 1 1 0 1 0 C = D = 0 1 0 1 1 _0 0 1 0 а. Use row (and/or column) operations to find the determinants of these matrices. b. Write the 6 × 6 and 7 x 7 matrices that follow in this pattern and state their determinants based on what you have seen.

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A: Explanation of the answer is as follows

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Q: b) Evaluate det[(2A)-1 (3A")], where A is any invertible (2 x 2) matrix.

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Q: The matrix of cofactors of A is precisely [adj (A)]T. O True False

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