Question

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

Forms of linear equations
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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]

Expert Answers (1)

2021-06-15
x1+2x2+2x4-x5=3 since x1 is the leading variable and rest are free variables. Hence, writing x1 in terms of other variables.
x1=3-2x2-2x4+x5 assigning free variables arbitrary values x1=3-2r-2s+t
x2=r
x3=s
x4=t
writing the equation from the rows of matrix.
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