In the problem it is set up this way replacing the last column with variables which stand for a real number which makes the equation true.

Jozlyn

Answered 2021-09-12
Author has **13698** answers

In the problem it is set up this way replacing the last column with variables which stand for a real number which makes the equation true.

asked 2021-06-21

The reduced row echelon form of the augmented matrix of a system of three linear equations in three variables must be of the form

\(\begin{bmatrix}1 & 0 & 0 & a \\ 0 & 1 & 0 & b \\ 0 & 0 & 1 & c \end{bmatrix}\)

where a, b, c, are real numbers. Justify your answer.

asked 2021-06-26

Determine if the statement is true or false, and justify your answer. (a) Different sequence s of row operations can lead to different reduced echelon forms for the same matrix. (b) If a linear system has four equations and seven variables, then it must have infinitely many solutions.

asked 2021-09-24

Refer to the system of linear equations -2x+3y=5. 6x+7y=4 Is the augmented matrix row-equivalent to its reduced row-echelon form?

asked 2021-09-14

asked 2021-09-25

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.

\(\begin{bmatrix}1&0&-2&|&6\\0&1&3&|&1 \end{bmatrix}\)

asked 2021-05-03

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.