# Linear independent vectors

## Homework Statement

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

I'm so lost

## The Attempt at a Solution

I'm so lost

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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.

I'm sorry that's suppose to be a 1

Ok, now just set up a 3 x 3 matrix and reduce the rows.

When I set up the matrix and reduce the rows. This will show if its independent or independent?

Mark44
Mentor

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.

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.

oh okay, thanks