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

1 Answer
Gió
Nov 9, 2016

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)]#

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