Question

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

Forms of linear equations
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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]

Answers (1)

2021-05-08
The last row of the reduced row echelon form corresponds to the equation 0x1+0x2+0x3=1
There are no values of x1, x2 and x3 that satisfy this equation. Therefore the system corresponding to the matrix has no solutions.
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