Question

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

Answer 1

`[17, 13, -4]`

Explanation:

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!