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In: Advanced Math

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

This is a linear algebra question.

Determine whether the given system has a unique solution, no solution, or infinitely many solutions. Put the associated augmented matrix in reduced row echelon form and find solutions, if any, in vector form. (If the system has infinitely many solutions, enter a general solution in terms of s. If the system has no 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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