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
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asked 2021-06-03
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.

Answers (1)

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.

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