A good answer might be:

No. For example there is no matrix 0-1 such that 00-1 = I


Non-singular

In fact, it is worse than that. There are very many n × n matrices that do not have an inverse. A matrix that does have an inverse is called non-singular. A matrix that does not is called singular. If the matrix A is non-singular, then:

AA-1 = A-1A = I

Here is a matrix that has an inverse:

A A-1 = I 

1   2
0   1


1  -2
0   1
= 

1  0
0  1

Rarely is an inverse as easy to find as the above one. Now, say that 


1   2
0   1
p = 

5
2

QUESTION 11:

What is p? Use A-1 from above.