ladya

Thank you!! That was a really nice explanation, one more question: About the matrix, which three vectors in R3 are you refering to? Must I map the two vectors that make up my orthonormal basis through the canonical basis? That only leaves me with two columns in my basis. Thank you! *** Matrix! not basis... thanks!****

Can anyone help me? Let U be a subspace of R3 that coincides with the plane throuogh the origin that is perpendicular to the vector n=(1,1,1) 1. Find an orthonormal basis for U 2. Find the matrix with respect to the canonical basis on R3 of the orthogonal projection (P a linear map from R3 to R3) onto U such that range (P) = U Any help would be greatly appreciated! I dont exactly understand what to do. Thanks!!!