4.Is it sometimes, always, or never true that, if A and B both have dimensions n x n , AB=BA ? Explain.

Is true sometimes.

Step-by-step explanation:

I guess that here we have two matrices, A and B, that are nxn.

We can see that if those matrices can conmutate, then we can try it with some simple matrices.

Here, we would have that:

You can see that AB and BA are different, then the statement is not always true.

But it is true sometimes, if A or B are the identiti, then I*A = A*I, in this case would be true.

It is also true if A and B are diagonal matrices, let's prove it:

lo98765432wqasdfghjkloi87654567890

step-by-step explanation: