Solve the Problem A) B) $$\left[ \begin{array} { l } x _ { 1 } \\x _ { 2 } \\x _ { 3 }\end{array} \right] = \left[ \begin{array} { r } - 3 \\3 \\1\end{array} \right]$$

question 19

Multiple Choice

Solve the problem.
-Find the general solution of the homogeneous system below. Give your answer as a vector. $$\begin{array} { r } x _ { 1 } + 2 x _ { 2 } - 3 x _ { 3 } = 0 \\4 x _ { 1 } + 7 x _ { 2 } - 9 x _ { 3 } = 0 \\- x _ { 1 } - 4 x _ { 2 } + 9 x _ { 3 } = 0\end{array}$$

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

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Definitions:

Verbal Communication

The use of spoken words to convey messages, ideas, or feelings.

Body Movement

The physical movement involving parts or the whole body, often used as a form of non-verbal communication.

Territorial Space

Bands of concentric space radiating outward from the body.

Social Distance Zone

A concept in proxemics referring to the physical distance individuals prefer to maintain in social interactions to feel comfortable.