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## Homework Statement

Let T: R^2 -> R^2.

Part a: Find a formula for T(a,b) where T represents the projection on the y-axis along the x-axis.

Part b: Find a formula for T(a,b) where T represents the projection on the y-axis along the line L={(s,s):s is an element of R}

## Homework Equations

My textbook says that T:V -> V is a projection on W1 along W2 (for W1 and W2 subspaces of V and V is the direct sum of W1 and W2) if, for x = x1 + x2 with x1 an element of W1 and x2 an element of W2, T(x) = x1

## The Attempt at a Solution

The book gives a pretty lousy definition of projection in my opinion and we haven't talked about it in class (I think my professor is leaving it up to the book), so my attempt at a solution is pretty half-baked. I'm unsure of what the textbook means by "find a formula" but for part a I think T(a,b) = (a,0) and for part b i really have no idea. All I can find on the internet are matrix definitions which really don't help too much. Oh and the textbook I am using is Linear Algebra 4th edition by Friedberg, Insel, & Spence