Question

Another tutor told me that answer but it was incorrect

Answer 1

The system has infinitely many solutions.

(x, 1 - x, -3)

Step-by-step explanation:

Writing the matrix in the form of a system of linear equations gives

`\begin{gathered} x+y=1 \\ z=-3 \end{gathered}`

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

`y=1-x`

Hence, the solution to the system is

`(x,y,z)=(x,1-x,-3)`

Since x can take any value ranging from -∞ to ∞, the system has infinitely many solutions.