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his is a linear algebra problem Determine the values of a for which the system has...

his is a linear algebra problem

Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.

x + 2y - 2z = 3

3x - y + 2z = 3

5x + 3y + (a^2 - 11)z = a + 6

For a = there is no solution.

For a = there are infinitely many solutions.

For a ≠ ± the system has exactly one solution.

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