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## Homework Statement

Determine the kernel/range of each of the following linear operators on R

^{3}

L(X)=(x1,x1,x1)

^{T}

## Homework Equations

## The Attempt at a Solution

So first thing I did was create a 3x1 matrix filled with ones.

I equaled it to zero and found x1=0 to be a solution. However I'm not quite sure how they come up with the following answer.

(0,x2,x3). Also why would it be a 2 dimensional subspace? Would it be due to x1 being zero?

Thanks

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