Explain the steps to solve

Question 1. Consider the augmented matrix of a linear system: 1 1 k 1 1k 1 1 & -] -2 (a) Write the system of linear equations corresponding to the given augmented matrix. (b) Find a row echelon form of the given matrix. () (1) For what value(s) of k& does the system have an infinite number of solutions? Give rea- soning. (1) For what value(s) of k is the system inconsistent? Give reasoning. (111) For what value(s) of does the system have a unique solution? Give reasoning. (d) Find vectors u, v R? such that the solution set of the equation z + y = = 0 can be written as {su+tv|s,t R}