Mathematics · Matrix Algebra

Given A = [2, 0; 3, 4] and B = [2, 1; 0, 5]. Which of the following is NOT correct?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1(A + B)2 = A2 + 2AB + B2✓
2(AB)T = BTAT
3det(AB) = det(A) · det(B)
4AB ≠ BA (matrix multiplication is not commutative)

Correct answer

(A + B)2 = A2 + 2AB + B2

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Given A = [2, 0; 3, 4] and B = [2, 1; 0, 5]. Which of the following is NOT correct?

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Given A = [2, 0; 3, 4] and B = [2, 1; 0, 5]. Which of the following is NOT correct?

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