Write the System as a Vector Equation or Matrix Equation $$\begin{array} { l l } 2 x _ { 1 } + x _ { 2 } - 6 x _ { 3 } & = - 6 \\6 x _ { 1 } - 4 x _ { 2 } & = 2\end{array}$$

question 6

Multiple Choice

Write the system as a vector equation or matrix equation as indicated.
-Write the following system as a matrix equation involving the product of a matrix and a vector on the left side and a vector on the right side. $$\begin{array} { l l } 2 x _ { 1 } + x _ { 2 } - 6 x _ { 3 } & = - 6 \\6 x _ { 1 } - 4 x _ { 2 } & = 2\end{array}$$

• A) \(\left[ \begin{array} { r r r } 2 & 1 & - 6 \\ 6 & 4 & 1 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r } 2 & 1 & - 6 \\ 6 & - 4 & 0 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \\ x _ { 3 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 2 & 6 \\ 1 & - 4 \\ - 6 & 0 \end{array} \right] \left[ \begin{array} { l } x _ { 1 } \\ x _ { 2 } \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c r } x _ { 1 } & x _ { 2 } & x _ { 3 } \\ 6 & - 4 & 0 \end{array} \right] \left[ \begin{array} { r } 2 \\ 1 \\ - 6 \end{array} \right] = \left[ \begin{array} { r } - 6 \\ 2 \end{array} \right]\)

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Definitions:

Infantile Distortions

Misinterpretations or misunderstandings of reality often exhibited by young children due to their developing cognitive abilities.

Information Processing Theories

A set of theories in psychology that focus on how individuals mentally process and manage information, emphasizing mechanisms such as perception, memory, and problem-solving.

Cognitive Development

The process of growth and change in intellectual capabilities such as thinking, reasoning, and understanding, through childhood and adolescence.

Developmental Changes

Refers to the physical, cognitive, and emotional growth that occurs across the human lifespan.