Question

If A and B are Matrices, then which of the following is true?*

5 points

AB≠BA

(At)t≠A

A+B≠B+A

All are true

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Answer 1

Answer:

(At)≠A is the true statement.

Step-by-step explanation:

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Answer 2

If A and B are Matrices, then AB≠BA is true.

Explanation:

Given- A and B are matrices.

As we know the properties of matrices that

• Sum of matrices are due to associative property of matrices.

     A+B =B+A                          (associative property of matrices)

Hence option (c) is wrong.

• $(A^{T} )^{T} = A$ as we know the tranpose property option(b) is also wrong.
• As option (b) and (c) is wrong option (d) is automatically becomes wrong.
• When two matrices are multiplied,

     Then, AB ≠BA

Hence option (a) is corrrect.