Consider the following system of equations −x + cy + 2z = 2 x − 2y + cz = 2 −2x + 4y + z = 1. For what value(s) of the scalar c (if any) does the system have no solutions, a unique solution or infinitely many solutions? For each such c, write down the corresponding solutions.
I'm struggling to solve this problem using only matrix notation, and I'm seeking your expertise. The problem must be solved using matrix notation exclusively, without incorporating any other methods. Could you kindly provide me with a thorough, step-by-step explanation using matrix notation, guiding me towards the final solution?
the no solution,a unique solution or infinitely all have to be done in matrix it can't be done algebra.
question:
Consider the following system of equations
−x + cy + 2z = 2 x − 2y + cz = 2
−2x + 4y + z = 1.
For what value(s) of the scalar c (if any) does the system have no solutions, a unique solution or
infinitely many solutions? For each such c, write down the corresponding solutions.
Step by step
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