In: Advanced Math
Given the matrix with rows
[1,1,k 1]
[1,k,1 1]
[k,1,1 -2]
Find the reduced row echelon form of M, and explain how it depends on k. (b) Consider the linear system Ax = b for which the augmented matrix is A b = M. i. For what values of k is the system inconsistent? ii. For what values of k does the system have a unique solution?