Answer:
The system has infinitely many solutions.
(x, 1 - x, -3)
Explanation:
Writing the matrix in the form of a system of linear equations gives
[tex]\begin{gathered} x+y=1 \\ z=-3 \end{gathered}[/tex]
Note that the third row does not give us any information on the values of x, y, and z.
Solving the first equation for y gives
[tex]y=1-x[/tex]
Hence, the solution to the system is
[tex](x,y,z)=(x,1-x,-3)[/tex]
Since x can take any value ranging from -∞ to ∞, the system has infinitely many solutions.
