How to subtract matrices
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ACT Math › 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,
If , then what is the value of
?
0
3
12
15
26
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 f (lower right).
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
Explanation
When subtracting matrices, subtracting component-wise.