How to add matrices

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ACT Math › How to add matrices

Questions 1 - 3
1

What is the value of

?

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

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.

2

Simplify:

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!

3

Simplify:

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:

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