Use Gauss-Jordan Row Reduction to Solve the Given System of Equations

question 87

Multiple Choice

Use Gauss-Jordan row reduction to solve the given system of equations. $$\begin{array} { l } x - 2 y + z - 4 w = 5 \\x + 3 y + 7 z + 2 w = 3 \\2 x + y + 8 z - 2 w = 8\end{array}$$

• A) \(\left( \frac { 1 } { 5 } ( 20 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 5 - 6 z - 6 w ) , z , w \right)\) , z, w arbitrary
• B) \(\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 12 } { 5 } ( - 3 - 6 z - 6 w ) , z , w \right)\) , z, w arbitrary
• C) \(\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 3 - 6 z - 6 w ) , z , w \right)\) , z, w arbitrary
• D) \(\left( \frac { 1 } { 5 } ( 20 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 2 - 6 z - 6 w ) , z , w \right)\) , z, w arbitrary
• E) \(\left( \frac { 1 } { 5 } ( 21 - 17 z + 8 w ) , \frac { 1 } { 5 } ( - 2 - 6 z - 6 w ) , z , w \right)\) , z, w arbitrary

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Definitions:

Mediation

A type of intensive negotiation in which disputing parties select a neutral party to help facilitate communication and suggest ways for the parties to solve their dispute.

Alternative Dispute Resolution

A range of processes, such as mediation or arbitration, designed to resolve disputes without formal litigation.

Arbitrators

Individuals appointed to settle disputes in an arbitration process, making decisions that are usually binding for all parties involved.

ADR Methods

Alternative Dispute Resolution Methods are procedures for settling disputes without litigation, such as arbitration or mediation.