Use Inverses to Solve Matrix Equations
- $$\begin{array} { r } 5 x + 7 z = 83 \\9 y + 6 z = 72 \\4 x + 7 y - 2 z = 12\end{array}$$

question 120

Multiple Choice

Use Inverses to Solve Matrix Equations
- $$\begin{array} { r } 5 x + 7 z = 83 \\9 y + 6 z = 72 \\4 x + 7 y - 2 z = 12\end{array}$$

• A) \(\left[ \begin{array} { r r r } 5 & 0 & 7 \\ 0 & 9 & 6 \\ 4 & 7 & - 2 \end{array} \right] \left[ \begin{array} { l } x \\ y \\ z \end{array} \right] = \left[ \begin{array} { l } 83 \\ 72 \\ 12 \end{array} \right]\)
• B)
• \[\left[ \begin{array} { r r r }
• 5 & 0 & 4 \\
• 0 & 9 & 7 \\
• 7 & 6 & - 2
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 83 \\
• 72 \\
• 12
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• 5 & 7 & 0 \\
• 9 & 6 & 0 \\
• 4 & 7 & - 2
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { c }
• 83 \\
• 72 \\
• 12
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l l }
• 5 & 0 \\
• 0 & 9 \\
• 4 & 7
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y \\
• z
• \end{array} \right] = \left[ \begin{array} { l }
• 7 \\
• 6 \\
• - 2
• \end{array} \right]\]

---

Definitions:

Language Acquisition

The method through which people develop the ability to notice, create, and apply words for the purposes of understanding and interaction.

Telegraphic Speech

A form of communication typical in young children, consisting of short and simple sentences.

Social Interaction

The dynamic process by which people communicate, act, and react in relation to others.

Babbling Stage

A stage in child language development characterized by the production of repetitive syllable sounds, such as "ba-ba" or "da-da," which occurs before the development of actual words.