# ACT Math : How to subtract matrices

## Example Questions

### Example Question #1 : How To Subtract Matrices

Given the following matrices, what is the product of  and ?

Explanation:

When subtracting matrices, you want to subtract each corresponding cell.

Now solve for  and

### Example Question #2 : How To Subtract Matrices

If , what is ?

Explanation:

You can treat matrices just like you treat other members of an equation. Therefore, you can subtract the matrix

from both sides of the equation.  This gives you:

Now, matrix subtraction is simple. You merely subtract each element, matching the correlative spaces with each other:

Then, you simplify:

Therefore,

### Example Question #3 : How To Subtract Matrices

Explanation:

When subtracting matrices, subtracting component-wise.

### Example Question #4 : How To Subtract Matrices

If , then what is the value of  ?

15

26

12

3

0

15

Explanation:

Match each term from the first matrix with the corresponding number from the second matrix and subtract.

Simplify.

Each of the numbers in the matrix solution now corresponds to the letters, a through f. Add a (upper left) and (lower right).