\(x_1-2x_2=4\)

\(x_3=3\)

\(0=0\)

\(x_1=4+2x_2\)

\(x_2\), free

\(x_3=3\)

\(x_1=4+2t\)

\(x_2=t\)

\(x_3=3\)

\(x=\begin{bmatrix}4 \\0\\3 \end{bmatrix}+t\begin{bmatrix}2 \\1\\0 \end{bmatrix}\)

Question

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 2021-06-12

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.

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

asked 2021-05-30

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. [1−32040\000001\000000]

asked 2021-05-25