Question

Another tutor told me that answer but it was incorrect

Answer 1

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

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

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.