Note: M22 is the set of all m x n matrices with real entries P3 is the set of all polynomials of degree at most n, together with the zero polynomial. 1) Find a basis of M22 consisting of matrices with the property that A^2 = A. I only found 2 of the vectors with a lot of hard work... [1 0 0 1] [0 0 0 1] I need 2 more...but I can think of any more... By the way, is there any SYSTEMATIC method to solve this problem? 2) Is it possible to have a basis of P3 consisting of polynomials whose coefficients sum to 0? Support your answer. [I have no idea how to go about doing this...] Can someone please help me? Thanks!