Question

# Determine whether the statement is true or false. Justify your answer. You cannot write an augmented matrix for a dependent system of linear equations

Forms of linear equations
Determine whether the statement is true or false. Justify your answer. You cannot write an augmented matrix for a dependent system of linear equations in reduced row-echelon form.

2021-06-04

100.

FALSE

An example would be:

$$\begin{bmatrix}1 & 0&1&:&3 \\0 & 1&2&:&7\\0 &0 &0&:&0\end{bmatrix}$$

Which is in reduced row-echlomn form & has infinitely many solutions since 0=0 is a true statement.