How to subtract matrices - ACT Math

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Question

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

Answer

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

Now solve for and

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Question

If , what is ?

Answer

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,

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Question

If , then what is the value of ?

Answer

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).

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Question

Answer

When subtracting matrices, subtracting component-wise.

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