LINEAR ALGEBRA
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Determine whether b is in the column space of A. If it is, then write b as a linear combination of the column vectors of A. (Use v₁, v₂, and v₃, respectively, for the three columns. If not possible, enter IMPOSSIBLE.)

A = [(1,3,0);(-1,1,0);(2,0,1)]

b= [(2,3,-4)]

A=
U	V	W		B=		X=
1	-1	2		2		P
3	1	0		3		Q
0	0	1		-4		R
AX=B………X=A INVERSE *B
A INVERSE =
0.25	0.25	-0.5
-0.75	0.25	1.5
0	0	1
X= A INVERSE * B =
3.25
-6.75
-4
HENCE B IS IN COLUMN SPACE OF A
B = 3.25*U-6.75*V-4*W……………….ANSWER