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.

asked 2020-10-19

\(y + 3x = -2\ or\ 3x +2 = y\)

\(y = x^2\)

a. Show all work in solving your system of equations algebraically.

b. Graph your system of equations and show the solution graphically to verify your solution.

asked 2021-06-28

Determine whether the statement is true or false. Justify your answer. When using Gaussian elimination to solve a system of linear equations, you may conclude that the system is inconsistent before you complete the process of rewriting the augmented matrix in row-echelon form.

asked 2021-06-03

Determine whether the statement is true or false. Justify your answer. You cannot write an augmented matrix for a dependent system of linear equations in reduced row-echelon form.

asked 2021-05-07

Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given row echelon form. Solve the system by back substitution. Assume that the variables are named x1,x2,… from left to right.
[1,0,0;-3,1,0;7,4,0;1,0,1]

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