How do you simplify #[(5,8,-4)]+[(12,5)]#?

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Answer 1 · 2018-06-03T14:50:25

#[17, 13, -4]#

The key realization here is that if we're adding two matrices

#[(a, b, c)] + [(d, e, f)]#

then the sum will be given by

#[(a+d) (b+e) (c+f)]#

We basically add the corresponding parts. Also, we can rewrite #[(12, 5)]# as #[(12, 5, 0)]#. We now have

#[color(red)(5+12), color(blue)(8+5),color(lime)(-4+0)]#

which is equal to

#[color(red)(17), color(blue)(13), color(lime)(-4)]#

Hope this helps!