ACT Math : Other Matrices

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Add Matrices

Simplify:

Possible Answers:

Correct answer:

Explanation:

Matrix addition is very easy! All that you need to do is add each correlative member to each other. Think of it like this:

Now, just simplify:

There is your answer!

Example Question #2 : Matrices

Simplify:

Possible Answers:

Correct answer:

Explanation:

Matrix addition is really easy—don't overthink it! All you need to do is combine the two matrices in a one-to-one manner for each index:

Then, just simplify all of those simple additions and subtractions:

Example Question #1 : How To Add Matrices

What is the value of 

 ?

Possible Answers:

You cannot add these two matrices because their indices do not line up.

Correct answer:

Explanation:

To add matrices you simply add the numbers in the same position as each other.

  

Plugging the given values into the above formula, we are able to solve the question.

   

Example Question #1 : Find The Sum Or 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 #1 : 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 #2581 : Act Math

 

Possible Answers:

 

 

Correct answer:

 

Explanation:

When subtracting matrices, subtracting component-wise.

Example Question #1 : How To Subtract Matrices

If , then what is the value of  ?

Possible Answers:

0

15

3

26

12

Correct answer:

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).

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