How to subtract matrices - ACT Math
Card 0 of 36
Given the following matrices, what is the product of
and
?

Given the following matrices, what is the product of and
?
When subtracting matrices, you want to subtract each corresponding cell.

Now solve for
and 





When subtracting matrices, you want to subtract each corresponding cell.
Now solve for and
Compare your answer with the correct one above
If
, what is
?
If , what is
?
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, 
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,
Compare your answer with the correct one above
If
, then what is the value of
?
If , then what is the value of
?
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 f (lower right).

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 f (lower right).
Compare your answer with the correct one above
When subtracting matrices, subtracting component-wise.



When subtracting matrices, subtracting component-wise.
Compare your answer with the correct one above
Given the following matrices, what is the product of
and
?

Given the following matrices, what is the product of and
?
When subtracting matrices, you want to subtract each corresponding cell.

Now solve for
and 





When subtracting matrices, you want to subtract each corresponding cell.
Now solve for and
Compare your answer with the correct one above
If
, what is
?
If , what is
?
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, 
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,
Compare your answer with the correct one above
If
, then what is the value of
?
If , then what is the value of
?
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 f (lower right).

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 f (lower right).
Compare your answer with the correct one above
When subtracting matrices, subtracting component-wise.



When subtracting matrices, subtracting component-wise.
Compare your answer with the correct one above
Given the following matrices, what is the product of
and
?

Given the following matrices, what is the product of and
?
When subtracting matrices, you want to subtract each corresponding cell.

Now solve for
and 





When subtracting matrices, you want to subtract each corresponding cell.
Now solve for and
Compare your answer with the correct one above
If
, what is
?
If , what is
?
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, 
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,
Compare your answer with the correct one above
If
, then what is the value of
?
If , then what is the value of
?
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 f (lower right).

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 f (lower right).
Compare your answer with the correct one above
When subtracting matrices, subtracting component-wise.



When subtracting matrices, subtracting component-wise.
Compare your answer with the correct one above
Given the following matrices, what is the product of
and
?

Given the following matrices, what is the product of and
?
When subtracting matrices, you want to subtract each corresponding cell.

Now solve for
and 





When subtracting matrices, you want to subtract each corresponding cell.
Now solve for and
Compare your answer with the correct one above
If
, what is
?
If , what is
?
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, 
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,
Compare your answer with the correct one above
If
, then what is the value of
?
If , then what is the value of
?
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 f (lower right).

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 f (lower right).
Compare your answer with the correct one above
When subtracting matrices, subtracting component-wise.



When subtracting matrices, subtracting component-wise.
Compare your answer with the correct one above
Given the following matrices, what is the product of
and
?

Given the following matrices, what is the product of and
?
When subtracting matrices, you want to subtract each corresponding cell.

Now solve for
and 





When subtracting matrices, you want to subtract each corresponding cell.
Now solve for and
Compare your answer with the correct one above
If
, what is
?
If , what is
?
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, 
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,
Compare your answer with the correct one above
If
, then what is the value of
?
If , then what is the value of
?
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 f (lower right).

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 f (lower right).
Compare your answer with the correct one above
When subtracting matrices, subtracting component-wise.



When subtracting matrices, subtracting component-wise.
Compare your answer with the correct one above