Write the System as a Vector Equation or Matrix Equation $$\begin{array} { l } 6 x _ { 1 } - 6 x _ { 2 } - x _ { 3 } = 5 \\6 x _ { 1 } + 3 x _ { 3 } = - 5\end{array}$$

question 62

Multiple Choice

Write the system as a vector equation or matrix equation as indicated.
-Write the following system as a vector equation involving a linear combination of vectors. $$\begin{array} { l } 6 x _ { 1 } - 6 x _ { 2 } - x _ { 3 } = 5 \\6 x _ { 1 } + 3 x _ { 3 } = - 5\end{array}$$

• A) \(x _ { 1 } \left[ \begin{array} { l } 6 \\ 6 \end{array} \right] + x _ { 2 } \left[ \begin{array} { r } - 6 \\ 0 \end{array} \right] + x _ { 3 } \left[ \begin{array} { c } - 1 \\ 3 \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \end{array} \right]\)
• B) \(x _ { 1 } \left[ \begin{array} { c } 6 \\ 6 \\ - 1 \end{array} \right] + x _ { 2 } \left[ \begin{array} { c } 6 \\ 0 \\ 3 \end{array} \right] = \left[ \begin{array} { c } 5 \\ - 5 \\ 0 \end{array} \right]\)
• C) \(6 \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] - 6 \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] - \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \\ 0 \end{array} \right]\)
• D) \(x _ { 1 } \left[ \begin{array} { l } 6 \\ 6 \end{array} \right] + x _ { 2 } \left[ \begin{array} { r } - 6 \\ 1 \end{array} \right] + x _ { 3 } \left[ \begin{array} { c } 1 \\ 3 \end{array} \right] = \left[ \begin{array} { r } 5 \\ - 5 \end{array} \right]\)

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Definitions:

Paid-In Capital

The amount of money received from shareholders in exchange for shares of the company’s stock.

Retained Earnings

Cumulative net income not distributed to shareholders, used for reinvestment in the business or to pay down debt.

Preferred Stock

A class of ownership in a corporation that has a higher claim on assets and earnings than common stock, often paying fixed dividends.

Excess Of Par

The amount by which the price or value of a security exceeds its par value, particularly in the context of bond or stock issuance.