- #1

- 150

- 3

## Homework Statement

Let L: R^3 -> R^3 be a linear transformation such that

L(i) = [1 2 -1], L(j) = [1 0 2] and L(k) = [1 1 3].

Find L([ 2 -1 3)].

All the numbers in [ ] should be vertical, but I don't know how to set that up.

## Homework Equations

## The Attempt at a Solution

I'm not sure how to even approach this. I've tried looking at examples in the text and they aren't clear.

I would think that you make a matrix L with the three columns i j k as above. and x = [2 -1 3] and just calculate Lx=b to find b.

But a similar problem in the text has a single number answer. I would've guessed that it gives a vector.