Mathematics · Matrices and Determinants
For square matrices A and B of the same order, which of the following statements is always true (where ' denotes transpose and -1 denotes inverse)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(A + B)-1 = A-1 + B-1
- 2(AB)-1 = A-1B-1
- 3(A + B)' = A' + B'✓
- 4(AB)' = A'B'
Correct answer
(A + B)' = A' + B'
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