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Byju's Answer
Standard XII
Mathematics
Transpose of a Matrix
If A and B ar...
Question
If A and B are square matrices of the same order, then (A + B)(A − B) is equal to
(a) A
2
− B
2
(b) A
2
− BA − AB − B
2
(c) A
2
− B
2
+ BA − AB
(d) A
2
− BA + B
2
+ AB
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Solution
(A + B)(A − B) = A
2
− AB + BA − B
2
Hence, the correct option is (c).
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