- #1
charmedbeauty
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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?