The following linear system of equations is represented by the reduced matrix:

Question

Information
A system of equations and a matrix.Short description, A system of equations and a matrix.,Long description,
A system of equations with 3 rows: 1st row 2 X minus 4 Y minus 2 Z equals 0. 2nd row 0 X plus 1 Y plus 4 Z equals 0. 3rd row 3 X minus 6 Y minus 3 Z equals 0.
A 3 by 4 matrix: First row first column 1, second column 0, third column 7, fourth column 0. Second row first column 0, second column 1, third column 4, fourth column 0. Third row first column 0, second column 0, third column 0, fourth column 0.

Question
What is the solution?

Answer options with 5 options
A.
the point negative 1 z comma 7 z comma 4 z

B.
the point negative 7 z comma negative 4 z comma 1 z

C.
the point 4 z comma 7 z comma 1 z

D.
the point negative 1 z comma negative 7 z comma negative 4 z

E.
the point negative 4 z comma 1 z comma negative 7 z

Answer 1

C. the point 4 z, 7 z, 1 z