Write the System of Equations in Matrix Form $$\left\{ \begin{array} { l } a - b + c = 8 \\4 a - b + c = 0 \\a + b + 2 c = 7 \\a + c + d = 0\end{array} \right.$$

question 91

Multiple Choice

Write the system of equations in matrix form. $$\left\{ \begin{array} { l } a - b + c = 8 \\4 a - b + c = 0 \\a + b + 2 c = 7 \\a + c + d = 0\end{array} \right.$$

• A) \(\left[ \begin{array} { c c c c } 1 & - 1 & 1 & 0 \\ 4 & - 1 & 1 & 0 \\ 1 & 1 & 2 & 0 \\ 1 & 0 & 1 & 1 \end{array} \right] \left[ \begin{array} { l } a \\ b \\ c \\ a \end{array} \right] = \left[ \begin{array} { l } 8 \\ 0 \\ 7 \\ 0 \end{array} \right] \quad\)
• B) \(\left[ \begin{array} { c c c c } 8 & - 1 & 1 & 0 \\ 0 & - 1 & 1 & 0 \\ 7 & 1 & 2 & 0 \\ 0 & 0 & 1 & 1 \end{array} \right] \left[ \begin{array} { l } a \\ b \\ c \\ a \end{array} \right] = \left[ \begin{array} { l } 1 \\ 4 \\ 1 \\ 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { l l l l } 8 & 1 & 1 & 0 \\ 0 & 4 & 1 & 0 \\ 7 & 1 & 2 & 0 \\ 0 & 1 & 1 & 1 \end{array} \right] \left[ \begin{array} { l } a \\ b \\ c \\ a \end{array} \right] = \left[ \begin{array} { l } 0 \\ 0 \\ 0 \\ 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c } 1 & - 1 & 1 \\ 4 & - 1 & 1 \\ 1 & 1 & 2 \end{array} \right] \left[ \begin{array} { l } a \\ b \\ c \end{array} \right] = \left[ \begin{array} { l } 8 \\ 0 \\ 7 \end{array} \right]\)
• E) none

---

Definitions:

Communication Process Model

A theoretical framework describing the components and interactions involved in the transmission of messages between a sender and a receiver.

Broadcasting Model

A method of mass communication where information or entertainment content is transmitted from a single source to a wide audience through mediums like television, radio, or the internet.

Motivation

The internal or external driving force that incites individuals to take action, pursue goals, or engage in a task with enthusiasm and diligence.

Audience Reaction

Refers to the responses, whether emotional, cognitive, or behavioral, that individuals or groups display in response to a message, performance, or event.