Use Inverses to Solve Matrix Equations
Write the Linear System $$\begin{array} { l } 8 x + 4 y = 20 \\3 x + 5 y = 4\end{array}$$

question 55

Multiple Choice

Use Inverses to Solve Matrix Equations
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the
constant matrix.
- $$\begin{array} { l } 8 x + 4 y = 20 \\3 x + 5 y = 4\end{array}$$

• A)\( \left[\begin{array}{ll}8 & 4 \\ 3 & 5\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}20 \\ 4\end{array}\right] \)
• B)\( \left[\begin{array}{cc}20 & 4 \\ 4 & 3\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}8 \\ 5\end{array}\right] \)
• C)\( \left[\begin{array}{ll}8 & 3 \\ 4 & 5\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}20 \\ 4\end{array}\right] \)
• D)\( \left[\begin{array}{ll}8 & 4 \\ 5 & 3\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{l}4 \\ 20\end{array}\right] \)

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.