Question

Suppose you have two 3 by 3 matrices ,say A and B How can the square of the A and B be mathematically expressed a).AB² b).[AB]² Which one the two is correct?

Answer 1

`[AB]^2`

Explanation:

Given

Matrices A and B

Required

Represents the square of A and B

The interpretation of the question is that:

The square of the product of A and B

This can be represented as:

The square(product of A and B)

Product means *

So, we have:

The square(A * B)

The square means ^2

So, we have:

`[A * B]^2`

This gives:

`[AB]^2`

Hence, the second option is correct