Find a Matrix a and a Column Matrix B That $\mathrm { AB } = \left[ \begin{array} { r } 1068 \\ 924 \end{array} \right]$

question 254

Multiple Choice

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
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• A) \(\mathrm { AB } = \left[ \begin{array} { r } 1068 \\ 924 \end{array} \right]\) Tuition for Student 2 is \(\$ 1068\) and tuition for Student 1 is \(\$ 924\).
• B) \(A B = \left[ \begin{array} { r } 1083 \\ 941 \end{array} \right]\) Tuition for Student 1 is \(\$ 1083\) and tuition for Student 2 is \(\$ 941\).
• C) \(\mathrm { AB } = \left[ \begin{array} { r } 1068 \\ 924 \end{array} \right]\) Tuition for Student 1 is \(\$ 1068\) and tuition for Student 2 is \(\$ 924\).
• D) \(\mathrm { AB } = \left[ \begin{array} { r } 1083 \\ 941 \end{array} \right]\) Tuition for Student 2 is \(\$ 1083\) and tuition for Student 1 is \(\$ 941\).

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Definitions:

Capacity For Change

The active phase of self-regulation; willpower.

Self-Regulation

The process by which an individual controls their behavior, emotions, and thoughts towards achieving long-term goals.

Capacity For Change

The potential or ability of an individual or system to modify its attributes or behavior in response to external conditions or stimuli.

Willpower

The ability to resist short-term temptations in order to meet long-term goals.