1003060502

SubArea:

Systems of linear equations and inequalities

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Project ID:

1003060502

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Clonable:

Easy:

The system of equations is given by:

\begin{aligned} x + y - 2 z & = 0, \\ x + 2 y + 3 z & = 0, \\ - 2 x + y + z & = 2. \end{aligned}

To which of the following systems is it equivalent? (Note: An algorithm for solving a system of linear equations by transformation the system into this form (row echelon form) is known as Gaussian elimination or as row reduction.)

\begin{aligned} x + y - 2 z & = 0 \\ y + 5 z & = 0 \\ 18 z & = - 2 \end{aligned}

\begin{aligned} x + y - 2 z & = 0 \\ y - 5 z & = 0 \\ 12 z & = 2 \end{aligned}

\begin{aligned} x + y - 2 z & = 0 \\ y + 5 z & = 0 \\ 18 z & = 2 \end{aligned}

\begin{aligned} x + y - 2 z & = 0 \\ y + z & = 0 \\ 6 z & = 2 \end{aligned}

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