Let u be some nonzero vector in R", L Span(u), and T(x) proj,(x) a) Prove that T is a linear transformation b) For any z E L, what is T(z)? Explain e) If A is the standard matrix for T, what does the...

Extracted text: Let u be some nonzero vector in R", L Span(u), and T(x) proj,(x) a) Prove that T is a linear transformation b) For any z E L, what is T(z)? Explain e) If A is the standard matrix for T, what does the result of part (b) tell us about the eigenvalues, eigenvectons, and/or eigenspaces of A?