Mathematics · Linear Algebra
Let A and B be 2 × 2 matrices. Then which of the following is true?
- 1det(A + B) - det(A - B) = 2det A - 2det B
- 2det(A + B) + det(A - B) = 2det A + 2det B✓
- 3det(A + B) + det(A - B) = 2det A - 2det B
- 4det(A + B) + det(A - B) = det A + det B
Correct answer
det(A + B) + det(A - B) = 2det A + 2det B
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