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प्रश्न
If A and B are square matrices of the same order, then (A + B)(A – B) is equal to ______.
विकल्प
A2 – B2
A2 – BA – AB – B2
A2 – B2 + BA – AB
A2 – BA + B2 + AB
उत्तर
If A and B are square matrices of the same order, then (A + B) (A – B) is equal to A2 – B2 + BA – AB.
Explanation:
(A + B)(A – B) = A(A – B) + B(A – B)
= A2 – AB + BA – B2
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