If A is a 2×2 matrix and adj A = [4 -1; -3 2], what is the element a₁₁ of the original matrix A? A. 4 B. 2 C. -1 D. -3 Answer: B) 2 Explanation: For a 2×2 matrix, adj A swaps a₁₁ and a₂₂. Thus, the a₂₂ of adj A is the a₁₁ of A, which is 2.

imo class 12 determinants

If A is a 2×2 matrix and adj A = [4 -1; -3 2], what is the element a₁₁ of the original matrix A?

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If A is a 2×2 matrix and adj A = [4 -1; -3 2], what is the element a₁₁ of the original matrix A?

Answer: B) 2

Explanation: For a 2×2 matrix, adj A swaps a₁₁ and a₂₂. Thus, the a₂₂ of adj A is the a₁₁ of A, which is 2.

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