Question

Given two matrices that have the same dimensions and are square, which of the following are TRUE: Select one: a. A.*B = B.*A b. A-B = B-A c. A*B = B*A d. Aᴮ = Bᴬ

Answer 1

The correct statements among the given options are: A.ˣB = B.ˣA, A-B = B-A, and AˣB = BˣA.

Step-by-step explanation:

The correct statements among the given options are:

A.ˣB = B.ˣA

A-B = B-A

AˣB = BˣA

Step-by-step explanation:

A.ˣB = B.ˣA: This property holds for matrices. The dot (.) represents the element-wise multiplication, and it is commutative.

A-B = B-A: Matrix subtraction is not commutative, so A-B is not equal to B-A. Therefore, this statement is false.

AˣB = BˣA: Matrix multiplication is not commutative, so AˣB is not equal to BˣA. Therefore, this statement is false.