Question

Linear combination question

Answer 1

I already did par a but how do I do part b?

Answer 2

part*

Answer 3

look at the rref matrix
The columns with the pivots can be the vectors in the basis
that makes vectors v1, v2, v4 the basis

to find what vectors to combine to get v3, look at the 3rd column
that 1 in the top row means use the 1st vector (v1). The 0's mean use 0 of the other basis vectors.

(notice in the original matrix that v3 = v1)

for v5: the numbers in the last column give you the combination of v1, v2 and v3 to use

Answer 4

Umm so would I go about writing the linear combination like this?