Homework Assignment #2 1.) [3 points] Compute A 53 whenA=|-8 7 -6 -4 1 8 I | 3] 2) Bpoints] LetA=[ 2, O].B=[3 7| What value(s) of k,if any, will make AB = BA? 3.) [3 points] Determine the solution of the following system using the equation X = A"1p 8x1 + 6x2 =2 le + 4x2 =-1 =g =7 =9 4.) [3 points] LetA=| 2 5 6|, determine the inverse of A by performing row reduction on 1 3 4 an augmented matrix [A ]]. 5.) [4 points] Use row reduction method to determine whether the following matrices are invertible. Use as few calculations as possible. 1 -5 -4 2 & 8 -3 A=l o 3 4 g 3 2 8 -3 6 0 0 -1 2 1 6.) [4 points] Find a 3x3 matrix that produces each of the following composite 2D transformations using homogeneous coordinates. a) Translate by (3, 1) and then rotate 45 degree about the origin. b) Scale the x-coordinate by 0.8 and the y-coordinate by 1.2, then rotate 30 degree about the origin. After that translate by (-2, 3)