GATE CE 2024 Set 2 — Question 12
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Engineering Mathematics → Linear Algebra → Matrix Algebra & Operations
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Question
The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.P:
Q: Which one of the following options is CORRECT?
Q: Which one of the following options is CORRECT?
Correct answer
(A) P is TRUE and Q is FALSE
Solution
Statement P: is a fundamental property of the transpose of a matrix. It is always TRUE.
Statement Q: is FALSE. The correct property for the transpose of a product is (the reversal law).
Statement Q: is FALSE. The correct property for the transpose of a product is (the reversal law).
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