For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.
For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.
ChapterP: Prerequisites
SectionP.5: Rational Expressions
Problem 9ECP
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5. For each of the systems of equations that follow,
use Gaussian elimination to obtain an equivalent
system whose coefficient matrix is in row echelon
form. Indicate whether the system is consistent.
If the system is consistent and involves no free
variables, use back substitution to find the unique
solution. If the system is consistent and there are
free variables, transform it to reduced row echelon
form and find all solutions.
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