Math Lesson 153: Adding and Subtracting Matrices

You can’t add matrices that have different dimensions. For example:

[ 2  -3 ] can’t be added to [ 1 ]. Adding matrices is easy though, if you do have the correct
[ 7   5 ]                                 [ 0 ]

dimensions. You just add the elements that have corresponding coordinates. Let’s me show you an example:

[ 2  3] + [6  7] = [ 8   10]
[ 4  5] + [8  9] = [12  14]

If you’re subtracting, you just add the negative version of the corresponding elements, like this:

[ 2  3] – [6  7] =>  [ 2  3] + [ -6  -7] = [ -4 -4 ]
[ 4  5] + [8  9] => [ 4  5] + [ -8  -9] = [ -4 -4 ]

If one of the number’s were negative, I’d just made it positive when I switched the symbols on the second matrix. Simple, right?

Posted in Internet Math, Math, Matrices

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