ACT Math : How to subtract matrices

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #4 : Find The Difference Of Two Matrices

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

 

Possible Answers:

Correct answer:

Explanation:

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

 

 

Now solve for  and 

 

 

Example Question #14 : Other Matrices

If , what is ?

 

Possible Answers:

Correct answer:

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 #1 : How To Subtract Matrices

Simplify:

Possible Answers:

Correct answer:

Explanation:

Subtracting (and adding) matrices is very easy!  You merely need to do a 1-to-1 correspondence between members.  So, we could rewrite:

as 

Then, you merely have to simplify:

Example Question #2 : How To Subtract Matrices

 

Possible Answers:

 

 

Correct answer:

 

Explanation:

When subtracting matrices, subtracting component-wise.

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