Consider the following system of equations, where is an unknown constant:
x_1−x_2+x_3 = 2
3x_1+x_2− x_3 = 2
2x_1+x_2− x_3 = k
For what values of k does the system have:
(a) a unique solution
(b) infinitely many solutions
(c) no solutions
Find the solution in cases above where the solutions exist.
please explain to me how to do it ,thanks!