SOLUTION: Let v1= [-1, 4, -2, 2].v2 = [2, -10, 6, -1].v3 = [-7, 26, -14, 23],v4 = [0, -2, 1, 6]
Determine whether or not the three vectors listed above are linearly independent or linear
Algebra.Com
Question 1159897: Let v1= [-1, 4, -2, 2].v2 = [2, -10, 6, -1].v3 = [-7, 26, -14, 23],v4 = [0, -2, 1, 6]
Determine whether or not the three vectors listed above are linearly independent or linearly dependent.
If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
Let v1= [-1, 4, -2, 2].v2 = [2, -10, 6, -1].v3 = [-7, 26, -14, 23],v4 = [0, -2, 1, 6]
Determine whether or not the three vectors listed above are linearly independent or linearly dependent.
If they are linearly dependent, determine a non-trivial linear relation. Otherwise, if the vectors
are linearly independent, enter 0's for the coefficients, since that relationship always holds.
~~~~~~~~~~~~~~~~~~~~
Looking in the post, I see 4 (four, FOUR) vectors here, while the question is about 3 (three, THREE) vectors.
I feel myself slightly uncomfortable . . .
If you are not able to post your problem correctly, why I . . . (and so on . . . )
This question relates to the university topic on Linear algebra, but the person who composed this "problem",
has difficulties counting from 1 to 4 ?
RELATED QUESTIONS
1)In 3d-space, let v1=(0,2,1) v2=(2,1,1) v3=(1,3,-1) v4=(4,2,1). Write v4 as linear... (answered by Fombitz)
Determine if the vectors v1 = (1,2,3), v2 = (1,0,-1), v3 = (2,2,2), v4 = (2,4,6) span R^3
(answered by ikleyn)
Let v1= [0, -9, -9], v2 = [1, -3, -3], v3 = [1, 0, 0]
Determine whether or not the... (answered by ikleyn)
Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1].
Find the value(s) of k for which b=[2,1,k]... (answered by ikleyn)
Please help me solve this question. Im just not understanding the concepts yet in class.
(answered by Fombitz)
hello
How do i find the basis of a space spanned by a set of vectors v1 =... (answered by Jk22)
I have a homework problem that I don't know how to do.
I'm asked to solve the following (answered by venugopalramana)
Let v1=(1,6,4), v2=(2,4,-1), v3=(-1,2,5) and w1=(1,-2,-5), w2=(0,8,9). Prove that... (answered by khwang)
Let S={v1, v2, v3}where v1^T=[1 0] v2^T=[0 1] v3^T=[-1 1]
(answered by venugopalramana)