1. The problem statement, all variables and given/known data Let v be a non-zero (column) vector in Rn. (a) Find an explicit formula for the matrix Pv corresponding to the projection of Rn to the orthogonal complement of the one-dimensional subspace spanned by v. (b) What are the eigenvalues and eigenvectors of Pv? Compute the dimensions of the associated eigenspaces. Justify your answers 3. The attempt at a solution Wouldn't the formula for the matrix Pv be the null space for v such that it has eigenvalues 0,1 or -1?