Adding or subtracting matrices is accomplished using this formula:
Here's an easy example showing how to add matrices together:
Here's another example. This one switches the order of the same matrices and shows that the result is still the same:
As you can see from these examples, the commutative law is valid for matrix addition and subtraction. In other words, you can switch the calculation order:
The associative law is also valid:
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Last Updated March, 1999