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

question 74

Multiple Choice

Use Gauss-Jordan row reduction to solve the given system of equations. $$\begin{aligned}x - y + z - u + v & = 0 \\y - z + u - v & = - 8 \\x - 2 v & = - 12 \\2 x - y + z - u - 3 v & = - 16 \\4 x - y + z - u - 7 v & = - 40\end{aligned}$$

• A) \(( - 6 , - 16 + z - u , z , u , 1 )\) , z, u arbitrary
• B) \(( - 9 , - 6 + z - u , z , u , - 8 )\) , z, u arbitrary
• C) \(( - 8 , - 6 + z - u , z , u , 2 )\) , z, u arbitrary
• D) \(( - 8 , - 9 + z - u , z , u , 1 )\) , z, u arbitrary
• E) \(( 2 , - 6 + z - u , z , u , - 8 )\) , z, u arbitrary

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Definitions:

Period

A specified duration of time characterized by particular events, conditions, or phenomena.

Interest

The expense associated with taking out a loan, usually shown as a percentage of the total amount loaned.

Interest Earned

The amount of interest generated from an investment or savings over a certain period of time.

Account

A record or statement of financial expenditure and receipts relating to a specific period or purpose; also used to refer to a customer's relationship with a financial institution.