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## Homework Statement

Find Kernel, Image, Rank and Nullity of the matrix

1 −1 1 1

| 1 2 −1 1 |

0 3 -2 0

## Homework Equations

## The Attempt at a Solution

I have reduced the matrix into rref of

3 0 1 3

0 3-2 0

0 0 0 0

But am struggling to find the column vectors which are the solutions of that, which I believe is the kernel

And then I know that the rank and nullity are the dimensions of the image and kernel respectively