# Determine whether the system is consistent or inconsistent. If it is consistent, give the solution

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. $$\begin{bmatrix}1&0&0 \\0&1&0 \\0&0&0\\0&0&2 \end{bmatrix}$$

• Questions are typically answered in as fast as 30 minutes

### Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Elberte
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.