Determine whether the following system of linear equations has no solution, only one solution, or infinitely many solutions. If the system has only one solution, find that solution. 6x-5y+7z=-3 3x+3y+z=3 x+4y-z=1
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The coefficient matrix A is: \[ \begin{bmatrix} 6 & -5 & 7 \\ 3 & 3 & 1 \\ 1 & 4 & -1 \\ \end{bmatrix} \] The variable matrix X is: \[ \begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} \] The constant matrix B is: \[ \begin{bmatrix} -3 \\ 3 \\ 1 \\ \end{bmatrix} \] Show more…
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