Find the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions 𝑥+𝑦+7𝑧=−72𝑥+3𝑦+17𝑧=−16𝑥+2𝑦+(𝑎2+1)𝑧=3𝑎
Assume any 3 appropriate values of 𝑎 to plot, using GeoGebra, corresponding planes which represent no solution, exactly one solution and infinitely many solutions. Attach the plots with your work.
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