can I please get help with question 1 and 2, I am having hard time solving them.

1. Let 2 4 A _ (7 4 ) . (a) Find an invertible matrix Q E M203), a positive real number s, and a rotation matrix R such that Q'IAQ 2 3R. (b) What is the angle of rotation of R, measured anticlockwise? 2. (a) Show that if z E (C satises 22 + x/gz + 3 = 0, then 23 = 3J5. (b) Suppose that A 6 MAC) has characteristic polynomial pA($) = ($2 + 3m? + x/x + 3). Find A\". You may use the fact that A is a 4 x 4 matrix with 4 distinct complex eigenvalues and is therefore diagonalizable over (C