Write the System of Equations for Which the Given Matrix $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

question 49

Multiple Choice

Write the system of equations for which the given matrix is the augmented matrix. $$\left[ \begin{array} { c c c c } 0 & 2 & 6 & 3 \\1 & 0 & 0 & - 9 \\2 & 3 & 0 & 0\end{array} \right]$$

• A) \(\left\{ \begin{aligned}
• y + 6 z & = 3 \\
• z & = - 9 \\
• 2 x - 3 y & = 0
• \end{aligned} \right.\)
• B) \(\left\{ \begin{aligned}
• 2 x + 6 z & = 3 \\
• x & = - 9 \\
• x + 3 y & = 0
• \end{aligned} \right.\)
• C) \(\left\{ \begin{aligned}
• 2 x + 6 z & = 3 \\
• z & = - 9 \\
• 2 y + 3 z & = 0
• \end{aligned} \right.\)
• D) \(\left\{ \begin{aligned}
• 2 y + 6 z & = 3 \\
• x & = - 9 \\
• 2 x + 3 y & = 0
• \end{aligned} \right.\)
• E)none

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Federal Funds Market

A financial market that allows banks to borrow or lend excess reserves to one another, usually on an overnight basis.

Liquidity

The simplicity of transforming an asset into cash without impacting its market value.

Profitability

A measure of the efficiency and financial success of a company, typically evaluated through ratios such as net profit margin or return on investment.

Required Reserves

The portion of deposits that banks are required to keep on hand and cannot lend out, typically mandated by a central bank.