Teaching DSSSB PGT Mock Test 2025 Mathematical Science Linear Algebra

Let A and B be 2 × 2 matrices. Then which of the following is true?

1
det(A + B) + det (A – B) = det A + det B
2
det(A + B) + det (A – B) = 2det A – 2det B
3
det(A + B) + det (A – B) = 2det A + 2det B
4
det(A + B) – det (A – B) = 2det A – 2det B
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