0=1

0=0

The augmented matrix contains a row in which the only nonzero entry appears in the last column. Therefore, this system of equations must be inconsistent.

Question

asked 2021-05-25

asked 2021-05-11

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

\(\begin{bmatrix}1 & 0&-6 \\1 & 1&3\\ 0 & 0&0\end{bmatrix}\)

asked 2021-06-04

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

\(\begin{bmatrix}1 & -2&0 & -4 \\0 & 0&1 & 3\\0 & 0&0 & 0 \end{bmatrix}\)

asked 2021-06-12

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution. Write the solution in vector form.

\(\begin{bmatrix}1&0&0&-3&0 \\0&1&0&-4&0 \\0&0&1&5&0 \\ \end{bmatrix}\)