There are no values of x1, x2 and x3 that satisfy this equation. Therefore the system corresponding to the matrix has no solutions.

asked 2021-05-21

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named \(x_1,x_2\)... from left to right.

\(\begin{bmatrix}1 & 0&0&-7&8 \\0 & 1&0&3&2 \\0 & 0&1&1&-5 \\ \end{bmatrix}\)

asked 2021-06-14

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named x1,x2,… from left to right. [1,2,0,2,−1,3]

asked 2021-06-03

asked 2021-07-04

asked 2021-06-22

asked 2021-06-19

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent.

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

asked 2021-06-14

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. [ 1 0 −1 1 0 1 2 1 ]

asked 2021-05-23

asked 2021-06-23

asked 2021-02-11

Let B be a \((4\times3)(4\times3)\) matrix in reduced echelon form.

a) If B has three nonzero rows, then determine the form of B.

b) Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a \((4\times3)(4\times3)\) matrix row equivalent to B.

Demonstrate that the system of equations is inconsistent.