Question

Math check (linear dependency)

Answer 1

Here is what I have and think. Is this right?
determmine of the sets of vectors are dependent of independent.
[3,1,4],[-2,1,-1]

3 -2 1 0
1 1 rref = 0 1
4 -1 0 0

which tells me we dont have any free variables aka they are independent

Answer 2

But where the question comes into play is that i have a rank 1 matrix (i think) which should mean i have 1 unknown which would make them dependent. . . according to some therom in the book

Answer 3

well what does the third row imply?

Answer 4

is this the one that circles back around to imply the two above can be combined to make it?

Answer 5

hmm, wait it would imply yeah i think it would. let me see abot working it out on paper again

Answer 6

what do you mean by what u said:

determmine of the sets of vectors are dependent of independent.

Answer 7

not clear to me

Answer 8

sorry it should have been determine if the set of vectors. . .
i just cant edit

Answer 9

determine the set of vectors are dependent of independent? what does dependent of independent? do you mean or?

Answer 10

oh yeah its or

Answer 11

all we are looking for is to see weather they are independent or dependent of each other

Answer 12

so

is what we get when we row reduce