​Write the System of Linear Equations as a Matrix Equation $[ A \mid B ]$

question 30

Multiple Choice

​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix $[ A \mid B ]$ to solve for the matrix X. $$\left\{ \begin{array} { r l c } x _ { 1 } - x _ { 2 } - 3 x _ { 3 } & = & 6 \\8 x _ { 1 } - 7 x _ { 2 } + 8 x _ { 3 } & = & - 104 \\6 x _ { 1 } - 6 x _ { 2 } - 8 x _ { 3 } & = & - 14\end{array} \right.$$

• A)​ \[\left[ \begin{array} { c c c }
• 1 & - 1 & - 3 \\
• 8 & - 7 & 8 \\
• 6 & - 6 & - 8
• \end{array} \right] = \left[ \begin{array} { c }
• 6 \\
• - 104 \\
• - 14
• \end{array} \right]\]
• B)​ \[\left[ \begin{array} { c c c }
• 1 & - 1 & - 3 \\
• 8 & - 7 & 8 \\
• 6 & - 6 & - 8
• \end{array} \right] \left[ \begin{array} { c }
• - 1 \\
• 8 \\
• - 5
• \end{array} \right] = \left[ \begin{array} { c }
• 6 \\
• 8 \\
• - 5
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { c c c }
• 1 & - 1 & - 3 \\
• 8 & - 7 & 8 \\
• 6 & - 6 & - 8
• \end{array} \right] \left[ \begin{array} { c }
• 6 \\
• - 1 \\
• - 14
• \end{array} \right] = \left[ \begin{array} { c }
• - 104 \\
• 8 \\
• - 5
• \end{array} \right]\]
• D)​ \[\left[ \begin{array} { c c c }
• 1 & - 1 & - 3 \\
• 8 & - 7 & 8 \\
• 6 & - 6 & - 8
• \end{array} \right] \left[ \begin{array} { c }
• - 1 \\
• 8 \\
• - 5
• \end{array} \right] = \left[ \begin{array} { c }
• 6 \\
• - 104 \\
• - 14
• \end{array} \right]\]
• E)​ \[\left[ \begin{array} { c c c }
• 1 & - 1 & - 3 \\
• 8 & - 7 & 8 \\
• 6 & - 6 & - 8
• \end{array} \right] \left[ \begin{array} { c }
• 6 \\
• - 104 \\
• - 14
• \end{array} \right] = \left[ \begin{array} { c }
• - 1 \\
• 8 \\
• - 5
• \end{array} \right]\]

Differentiate between obedience, compliance, and persuasion in social contexts.

Grasp the concept of cognitive dissonance and its implications in attitude and behavior change.

Identify techniques used in social psychology research, including the role of confederates.

Understand the relationship between efforts expended toward a goal and subsequent changes in attitude or perception.

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