plz help me with this 9 a b c and 10 b only

9. a) Show that [[3 i] , [i 1], [:31 31] } is a basis of the vector space ofal] 2X2 symmetric matrices. 3 2 C) Find a basis of P2 in which the vector x + 3 has all coordinates equal to 1. b) Find the coordinates of the vector [3 ] relative to the basis given in part (a). 10. Determine whether the following statement is true or false. lustify your answer with a proof or a counterexample. a The point (1,2,1) is between planes 6x 33! + 62 = 3 and 4x ._ 2y + 42 = 2. = {(x,y,z) E 1E3| xy = 0 and yz = D} is a subspace of R3