Question

The row echelon form of a system of linear equations is given.

Forms of linear equations
ANSWERED
asked 2021-05-18

The row echelon form of a system of linear equations is given.


(a)Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or \(x_1,x_2,x_3,x_4 \) as variables.


(b)Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

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

Answers (1)

2021-05-19
(a) The system of equations corresponding to the given matrix is
x-3y=-4
y=0.
(b) Putting y = 0 in the first equation we get x — 3.0 = -4 i.e. x= —4. So, the given system of equation is consistent and x = —4, y = 0 is the solution of the given system of equations.
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