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**1. Homework Statement**

Find a basis of the image im(LA) of the linear transformation

LA: R^5 [tex]\rightarrow[/tex]R^3, x[tex]\mapsto[/tex]Ax

where

A =

1 -2 2 3 -1

-3 6 -1 1 -7

2 -4 5 8 -4

and hence determine the dimension of im(LA)

**3. The Attempt at a Solution**

Using the equation LA= Ax,

can i set up an augmented matrix of A and say, y1, y2 and y3 on the end? Then perform row reduction to get it into row reduced echelon form. Is that the right way to go about it? I will perform the calculation and update with it but any direction would be greatly appreciated.