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Question

Engineering Mathematics Question on Matrix Algebra

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.
P : (A + B)T = AT + BT
Q: (AB)T = ATBT
Which one of the following options is CORRECT ?

A

P is TRUE and Q is FALSE

B

Both P and Q are TRUE

C

P is FALSE and Q is TRUE

D

Both P and Q are FALSE

Answer

P is TRUE and Q is FALSE

Explanation

Solution

The correct option is (A) : P is TRUE and Q is FALSE.