I need my memory refreshed on this...
Which of these sets are linearly dependent on the whole line?
a. x-3, 6-2x, e^x
b. x+1 2x-3, 3x+4
cos^2x cos2x, sin^2x
d. 1, e^x, xe^x

Question

I need my memory refreshed on this... 
Which of these sets are linearly dependent on the whole line?
a. x-3, 6-2x, e^x
b. x+1 2x-3, 3x+4
cos^2x cos2x, sin^2x 
d. 1, e^x, xe^x

usukidoll · Answer

I can see that a and b are all P1 vector spaces because of the degree.

usukidoll · Answer

and I remember that I have to put it like this

c1(x-3)+c2(6-2x)+c3(e^x) = 0x + 0

usukidoll · Answer

so xc1-3c1+6c2-2xc2+c3e^x = 0 
and I want to put it in an augmented matrix format

usukidoll · Answer

so that would be if I rearrange this
xc1 -2xc2     0
-3c1+6c2     0
            e^x c3 = 0|dw:1382066590084:dw|