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Examine the consistency of the system of...

Examine the consistency of the system of equations
`5x -y + 4z = 5," "``2x + 3y + 5z = 2," "``5x -2y + 6z = 1`

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To examine the consistency of the given system of equations: 1. **Write the equations in matrix form**: The given equations are: \[ 5x - y + 4z = 5 \quad (1) \] \[ ...
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