One can identify complex numbers and vector on the plane r 2 as a+ib ≡ (a, b). find the matrix b = [ b11 b12 b21 b22] such that, using this identification, e iϕ(a + ib) ≡ ( b [ a b ])t where t denotes the transpose. now use this to explain geometrically the action of the matrix b on the vector [ a b ] .

Maci and i are making a small kite. two sides are 10". two sides are 5". the shorter diagonal is 6". round all your answers to the nearest tenth. 1. what is the distance from the peak of the kite to the intersection of the diagonals? 2. what is the distance from intersection of the diagonals to the top of the tail? 3. what is the length of the longer diagonal?