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Linear independent vectors

  • Thread starter kiamax
  • Start date
  • #1
5
0

Homework Statement


Determine whether the vector v1=(!,2,3),v2(3,2,1) and v3(1,1,1) are independent or dependent.


Homework Equations


I'm so lost


The Attempt at a Solution


I'm so lost
 

Answers and Replies

  • #2
699
5


Is that suppose to be ! or 1?

If it is suppose to be a 1, just put it in a matrix and do reduced row echelon form. If you don't get back the identity matrix, they aren't independent.
 
  • #3
5
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I'm sorry that's suppose to be a 1
 
  • #4
699
5


Ok, now just set up a 3 x 3 matrix and reduce the rows.
 
  • #5
5
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When I set up the matrix and reduce the rows. This will show if its independent or independent?
 
  • #6
33,492
5,182


When I set up the matrix and reduce the rows. This will show if its independent or independent?
It will show whether the vectors are linearly independent or linearly dependent.
 
  • #7
699
5


Yes, because if you don't obtain the identity matrix, one or two of the vectors are dependent.
[1,0,5]
[0,1,2]
[0,0,0]
Take this rref matrix as an example.
This is telling us the 3rd column can be written as 5v1+2v2.
 
  • #8
5
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oh okay, thanks
 

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