Question: Please help me understand this linear algebra problem. Find all values of the coefficients k such that the following system of equations (k is an

Please help me understand this linear algebra problem.

Find all values of the coefficients k such that the following system of equations (k is an arbitrary constant x + 2y + 2z =4 2x + 5y - 42 = 7 x+ 2y+ (k2 - 14)z =k. has: (a) infinitely many solutions (b) Only one solution (c) no solution

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