Question

How do you simplify `5[(1),(-1),(-3)]+6[(-4),(3),(5)]-2[(-3),(8),(-4)]`?

Answer 1

I got: `[(-13),(-3),(23)]`

Explanation:

We can first multiply each vector matrix by the corresponding scalar to get:
`[(5*1),(5*-1),(5*-3)]+[(6*-4),(6*3),(6*5)]+[(-2*-3),(-2*8),(-2*-4)]=`
`=[(5),(-5),(-15)]+[(-24),(18),(30)]+[(6),(-16),(8)]=`
we now add the three vectors:
`=[(5-24+6),(-5+18-16),(-15+30+8)]=[(-13),(-3),(23)]`