This is a linear algebra question. Determine whether the given system has a unique solution, no solution,...

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This is a linear algebra question.

Determine whether the given system has a unique solution, nosolution, or infinitely many solutions. Put the associatedaugmented matrix in reduced row echelon form and find solutions, ifany, in vector form. (If the system has infinitely many solutions,enter a general solution in terms of s. If the system hasno solution, enter NO SOLUTION in any cell of the vector.)

2x1 + 3x2 − 4x3=12
−6x1 − 8x2 + 10x3=−35
8x1 + 14x2 + x3=17

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