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.

Question

asked 2021-06-28

Determine whether the statement is true or false. Justify your answer. When using Gaussian elimination to solve a system of linear equations, you may conclude that the system is inconsistent before you complete the process of rewriting the augmented matrix in row-echelon form.

asked 2021-05-02

Determine whether the statement is true or false. If the last row of the reduced row echelon form of an augmented matrix of a system of linear equations has only zero entries, then the system has infinitely many solutions.

asked 2021-06-23

Determine whether the statement is true or false. If the last row of the reduced row echelon form of the augmented matrix of a system of linear equations has only one nonzero entry, then the system is inconsistent.

asked 2021-05-25

Determine whether the following statement is true or false. If the reduced row echelon form of the augmented matrix of a consistent system of mm linear equations in nn variables contains kk nonzero rows, then its general solution contains kk basic variables.