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

question 130

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. $$\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } & = - 25 \\- 5 x _ { 1 } + 2 x _ { 2 } & = 34\end{aligned} \right.$$

• A) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 25 \\
• - 4
• \end{array} \right] = \left[ \begin{array} { c }
• 34 \\
• 7
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] = \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right]\)
• C) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 4 \\
• - 25
• \end{array} \right] = \left[ \begin{array} { c }
• 7 \\
• 34
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 4 \\
• 7
• \end{array} \right] = \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c }
• 1 & - 3 \\
• - 5 & 2
• \end{array} \right] \left[ \begin{array} { c }
• - 25 \\
• 34
• \end{array} \right] = \left[ \begin{array} { c }
• - 4 \\
• 7
• \end{array} \right]\)

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Definitions:

Spatial Location

The specific position or area within a three-dimensional space where an object or person is located.

Primacy Effect

the tendency to remember information that comes first in a list better than information that comes later.

Recency Effect

A memory phenomenon where the most recently presented items or experiences are more likely to be remembered than those presented earlier.

Primacy Effect

The tendency to remember information at the beginning of a list better than the information in the middle or at the end.