Give an example of a linear transformation

[Tonyt88]

Homework Statement

Give an example of a linear transformation whose kernel is the line spanned by:

-1
1
2

in lR³

Homework Equations

The Attempt at a Solution

Would:

1..(-1)...0
0...0...0
0..(-2)...1

be a solution?

 

[gammamcc]

To prove it, prove your vector is in the kernel and that the dimension of the col. space is 3 - nullity = 2.

 

[HallsofIvy]

It quite obviously isn't since Av is not 0. Are you clear on the definition of "kernel"?

Actually your matrix has only a single entry wrong so it may be just a typo.