- #1
Jamin2112
- 986
- 12
Homework Statement
the given vector v and subspace W.
(a)
Let W be the subspace with basis {(1 1 0 1)T, (0 1 1 0)T, (-1 0 0 1)T} and v = (2 1 4 0)T.
Homework Equations
ProjWv = (<W, v> / <W, W>) * W
The Attempt at a Solution
So I'm trying to wrap my head around this problem by imaging a simpler setup, say, v = (2 1)T and W = span{(1 0)T, (0 1)T}. Visually I see a plane in R2 with the vector (2 1)T sticking out and then any other vector in R2 projected upon it. As for the formula for projection, I'm not sure how I can input a subspace W, an infinite set of vectors. What's up with that? Where do I go?