Question

I have a practice problem that I need explained an answered, thank you

Answer 1

From the question, we are given the matrices

We are to find which operation is defined and whic one is not

For the operation

`M-N`

For subtraction operation to be definded

The order of the matrices must be the same

Since the order of M is 4 x 2

And the order of N is 4 x 2

Therefore, the operation M - N is defined

For the operation

`L-N`

Similarly, for the operation to be definded

The order of the matrices must be the same

The oder of matrix L is 2 x 2 while the order of matrix N is 4 x 2

Since the oder of the matrices are not the same then

The operation L - N is not defined

For the operation

`M+P`

For addition operation to be defined, the Order of the matrices must be the same

The order of matrix M is 4 x 2 while the order of matrix P is 2 x 2

Since the order of the matrices are not the same then the operation is not defined

For the operation

`Q+P`

For addition operation to be defined, the Order of the matrices must be the same

The order of matrix Q is 2 x 1 while the order of matrix P is 2 x 2

Since the order of the matrices are not the same then the operation is not defined