Transformation T as a projection on a Line

[Wi_N]

Homework Statement

T: R^2 --> R^2 given as a projection on the line L = 5x+2y=0
decide matris T?

Homework Equations

The Attempt at a Solution

L= 5,2
X=x1, x2
projL on X = (5x1+2x2)/29 *(5,2)

= 1/29 [25 10
10 4]
is this correct?

 

[Twigg]

Try finding a unit vector along the line L to start.