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Mathematics 16 Online
OpenStudy (anonymous):

OHHH i need help in finding if a vector is linearly dependant or not

OpenStudy (anonymous):

S=(x^2,x^2+1)

OpenStudy (anonymous):

This is a set in P_2

OpenStudy (anonymous):

hehe u came i was abt to log off

OpenStudy (turingtest):

Just in time! this can be written with just coefficients to check to see if the equation\[A\vec x=\vec 0\]has more than one solution:\[c_1+c_2=0\]\[c_2=0\]the solution to the system is the trivial solution c1=c2=0, so it's linearly independent

OpenStudy (anonymous):

how one vector could be dependent

OpenStudy (turingtest):

also you can note that you can't produce the second vector from the first

OpenStudy (anonymous):

you should give 3

OpenStudy (turingtest):

I assumed that was two vectors is it one?

OpenStudy (anonymous):

lol i think it is one but maaybe it is 2

OpenStudy (turingtest):

well either way it's independent as ackhat said one vector cannot be dependent

OpenStudy (anonymous):

true Thanks turing have a nice weekend

OpenStudy (turingtest):

likewise

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