Let t1 and t2 be linear transformations given by t1 x1 x2 = 2x1 + x2 x1 + x2 t2 x1 x2 = 8x1 + 7x2 x1 + x2 . find the matrix a such that the following are true. (a) t1−1(t2(x)) = ax a = (b) t1(t2−1(x)) = ax a = (c) t2−1(t1(x)) = ax a = (d) t2(t1−1(x)) = ax a =

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?