# 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 = 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.

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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 (xyz) 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.

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Step 1

Given a system of ...

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### Calculus 