Select from the following sets, theone(s) which are linearly independent, given

Question

Select from the following sets, theone(s) which are linearly independent, given that each set is asubset of vectors from a standard vector space. A
{ [-6,-8],    [-8,-7],    [-8,-8] } B
{ sin( 2 x ) ,   cos( 2 x ) ,    e3 x,    1,    3 x,   x2 } C
{ -4 x2+x+3,   -5 x-1,    -5} D
{ -1+x,    x2-x-2,   x2-1,   -2 x } None of the above Select from the following sets, theone(s) which are linearly independent, given that each set is asubset of vectors from a standard vector space. A
{ [-6,-8],    [-8,-7],    [-8,-8] } B
{ sin( 2 x ) ,   cos( 2 x ) ,    e3 x,    1,    3 x,   x2 } C
{ -4 x2+x+3,   -5 x-1,    -5} D
{ -1+x,    x2-x-2,   x2-1,   -2 x } None of the above A
{ [-6,-8],    [-8,-7],    [-8,-8] } B
{ sin( 2 x ) ,   cos( 2 x ) ,    e3 x,    1,    3 x,   x2 } C
{ -4 x2+x+3,   -5 x-1,    -5} D
{ -1+x,    x2-x-2,   x2-1,   -2 x } None of the above

Explanation / Answer

answer is None of the above. A)(-6,-8)=a(-8,-7)+b(-8.-8) a=-2,b=11/4 B)does not exist c)does not exist d)here we got above methode a=1, b=1. so not L.I

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