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CalculusQ&A LibraryThe system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. x + y + z = 03x − y − z = 0−x + 3y + 3z = 0We have found that the system has infinitely many solutions, and that (x, y, z) is a solution if and only if x = 0 and y = −z, where z may be any real number.Write the general form of the solutions as an ordered triple. Express your answer in terms of z.Question

Asked Oct 11, 2019

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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists.

x | + | y | + | z | = | 0 |

3x | − | y | − | z | = | 0 |

−x | + | 3y | + | 3z | = | 0 |

We have found that the system has infinitely many solutions, and that (*x*, *y*, *z*) is a solution if and only if

x = 0

and

y = −z,

where *z* may be any real number.

Write the general form of the solutions as an ordered triple. Express your answer in terms of *z*.

Step 1

Given a system of ...

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