DIAGONALIZE

1. In (12 +, R, . ) it defines : (u,v) = ulv1+5u2v2 find an orthonormal basis si: {(1, -1); (1, 1)) 2. DIAGONALIZE 2 1 a) A= -14 12 20 17 b) B = 0 1 2 O 3. DIAGONALIZE ORTHOGONALLY 0 0 0 1\\ a) A = 1 b) B = -1 0 -1 0/ 3x3 4. It is known that A4 x 4 is a real and symmetric matrix, with multiple self-values 11 = -2 and 12 = 4, if the self-value 4 has as eigenvectors: (0,0, -1,1) t(-1,1,0,0) t, find Matrix A