- #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

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- Thread starter kiamax
- Start date

- #1

- 5

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

I'm so lost

I'm so lost

- #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

- 0

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

Mark44

Mentor

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

- #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 5v

- #8

- 5

- 0

oh okay, thanks

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