\(x_1-4x_2=5\)

\(0=0\)

\(x_1=5+4x_2\)

\(x_2\), free

\(x_1=5+4t\)

\(x_2=t\)

\(x=[5,0]+t[4,1]\)

asked 2021-09-28

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.

\(\begin{bmatrix}1&-2&6 \\0&0&0 \end{bmatrix}\)

asked 2021-09-20

asked 2021-09-20

Write the solution in vector form. \(\begin{bmatrix}1 & -3 & 2 & 0 & 4 & 0 \\0 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 0 & 0 & 0\end{bmatrix}\)

asked 2021-09-29

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 2021-05-23

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

asked 2021-05-05

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y;x,y; or x,y,z;x,y,z; or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [1001−40][

asked 2021-06-13

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or x1,x2,x3,x4x
as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. ⎡⎣⎢100010000002⎤⎦⎥