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**linear independence**

## Homework Statement

given that a,b and c are linearly independant vectors determine if the following vectors are linearly independant.

a) a,0

b) a+b, b+c, c+a

c) a+2b+c, a-b-c, 5a+b-c

## The Attempt at a Solution

I'm not sure how to tackle the question in this form.

Edit:

a) a=0a Dependant

[itex]

\text{Det}\left[\left(

\begin{array}{ccc}

1 & 0 & 1 \\

1 & 1 & 0 \\

0 & 1 & 1

\end{array}

\right)\right]=2[/itex]

Independant

(c)

[itex]

\text{Det}\left[\left(

\begin{array}{ccc}

1 & 1 & 5 \\

2 & -1 & 1 \\

1 & -1 & -1

\end{array}

\right)\right]=0[/itex] Dependant

Is it ok to use those vector co-efficients in a matrix like that?

Last edited: