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## Homework Statement

is vector b in the span of vectors v1,v2? Give reasons.

## Homework Equations

## The Attempt at a Solution

v1=(1,4,0,-1)

v2=(2,7,-2,-3)

b= (-1,-1,7,4)

set up in matrix

(v1,v2| b)

and after row reduction I have

(1,0,0,0),(2,-1,0,0)|(-1,3,6,6)

matrix has no sltn

since 0x + 0y = 6

therefore b does not span v1 ,v2.

my row reduction steps are..

R4= R4+R1

R2=R2-4R1

R4=R4+R2

R3=R3+R1

.....

is this right?