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Question
State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.
A2 – B2 = (A + B) (A – B)
Options
True
False
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Solution
This statement is False.
Explanation:
Laws of algebra for factorization and expansion are not applicable to matrices.
RELATED QUESTIONS
State, whether the following statement is true or false. If false, give a reason.
If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.
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A . (B – C) = A . B – A . C
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Product of which two matrices gives a square matrix.
