- #1

SetepenSeth

- 16

- 0

## Homework Statement

Let T: ℝ² →

*P²*a linear transformation with usual operations such as

T [1 1] = 1 - 2x and

T [3 -1]= x+2x²

Find T [-7 9] and T [a b]

**Though I'm writing them here as 1x 2 row vectors , all T's are actually 2x1 column vectors (I didn't see a way to give them proper format)**

## Homework Equations

[/B]

T(x)= Ax

Ax=b

## The Attempt at a Solution

[/B]

Finding the transformation for the required vectors is not an issue, as long as I have the associated standard matrix, however my approaches to find this matrix have not come out successful.

Since the transformation goes ℝ² →

*P²*it is my understanding that the associated matrix is 3x2 so using the inverse or the transformations of the canonical vectors T(ei) don't seem to help much (or I am failing to see how to properly apply them). The other option it is that this is a linear transformation that is not matricial, in which case I'm uncertain on how to approach it.

Any advise would be appreciated.