Question:
If A and B are 2×2 matrices, which of the following is true?
If A and B are 2×2 matrices, which of the following is true?
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Never assume AB=BA for matrices.
Updated On: Mar 17, 2026
- (A+B)²=A²+B²+2AB
- (A-B)²=A²+B²-2AB
- (A-B)(A+B)=A²+AB-BA-B²
- (A-B)(A+B)=A²-B²
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The Correct Option is C
Solution and Explanation
Matrix multiplication is non-commutative:
(A-B)(A+B)=A²+AB-BA-B²
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