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14. The eigenvalues of the matrix M = G 3 Find a matrix which diagonalises M. 21> (1\" i) ) are1and5. Solution a) 11. The set {po, P1, p2} of functions defined by Po(ac) = =2(2 - 2), PI(2) = -, 1 N (2 + 1)(2 - 2), p2(2) = 2(2+1) is a Lagrange basis for which of the following sets of points? a) {(-1, 0), (0, 1), (2, 2) } b) {(-2, -2), (0, -1), (1, 0) } c) {(-2, -2), (-1, 0), (0, 1)} d) {(0, -1), (1, 0), (2, 2) } Solution a)