## Adding, Subtracting, and Matrices, Oh My!

It's simple to add and subtract matrices, *but they must always be the same size for it to work*. The answers are always the same size too. Check it out:

All you do is add the entries in each corresponding place:

Subtraction? Same idea.

Now we just subtract the entries in each place:

Looks tough, but as long as you don't lose your place, you're golden. But remember, they *must* be the same size. And a 2 × 3 is *not* the same as a 3 × 2, for example.

## Practice:

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These matrices are the same size so these can be added. We just add the entries in each corresponding place: | |

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These matrices are the same size so these can be added. We just add the entries in each corresponding place: | |

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These matrices are not the same size. They cannot be added. | |

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These matrices are the same size so these can be subtracted. We just subtract the entries in each corresponding place: | |

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These matrices are the same size so these can be subtracted. We just subtract the entries in each corresponding place: | |

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These matrices are not the same size. They cannot be subtracted. | |

Add these matrices or, if not possible, explain why:

Hint

matrices must be the same size to add

Answer

Add these matrices or, if not possible, explain why:

Hint

matrices must be the same size to add

Answer

These are different sizes so they cannot be added.

Subtract these matrices, or, if not possible, explain why.

Answer

Subtract these matrices, or, if not possible, explain why.

Answer

Subtract these matrices, or, if not possible, explain why.

Answer

These matrices are not the same size so they cannot be subtracted.