 Determine whether the system is consistent or inconsistent. If it is consistent, give the solution Efan Halliday 2021-09-10 Answered

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or $$x_1,x_2,x_3,x_4$$  x as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. $$\begin{bmatrix}1&0&0 \\0&1&0 \\0&0&0\\0&0&2 \end{bmatrix}$$

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x=0
y=0
0=2
Convert the matrix to a system of equations, using the numbers in the first column as coefficients for x, numbers in the second column as coefficients for y, and numbers in the third column as coefficients for z.
inconsistent
The system is inconsistent because there is an equation that is false for all real values of the variables.