let

A=

1 2

1-2

b=

4

0

c=

-3

-2

a) write b as a linear combination of the column vectors a1 and a2

b) use the result from a to determine solution of linear system Ax = b. does the system have any other solutions? explain.

c) write c as a linear combination of a1 and a2.

I got part a) I think

b = 2a1 +a2 since 2 times a1 plus one a2 equals the b matrix.

so then part b)

x would be

2

1

since

2 times A is b

1

c) is where I am stuck

I cant figure out a combination for

c=

-3

-2

I feel I need to subtract a2 from a1, but then the bottom position wont be -2 if I subtract a1 by 2a2