You need to provide a clear and detailed solution for the following questions Question 1 [20 points): Consider a linear system 2x+3=+k-6 3x-2y=42-9 x+2y+62-24-61 (a) [7 Points] For what value(s) of k, is the linear system homogeneous? (b) [13 Points] When k = 1, determine whether the system is consistent Question 2 [20 points) Consider the three matrices 210 A-31-1 -12 1 B and c-B (a) 19 Points] Find the sizes of the matrices AB, B'C', and CA, if the multiplication is possible. (b) 11 Points] Find the values of x, y, and z when B'A = C. Question 320 points) Consider two matrices -23 and F (a) 13 Points] Find a 2 x 2 matrix G satisfying HG 1 if possible. If it is impossible to find such a matrix G. explain why not. (b) 7 Points] Find the matrix multiplication HH if possible