Find the Matrix Product, If Possible $\left[\begin{array}{rrr}1 & 3 & -1 \\3 & 0 & 5\end{array}\right]\left[\begin{array}{rr}3 & 0 \\-1 & 1 \\0 & 5\end{array}\right]$

question 30

Multiple Choice

Find the matrix product, if possible.
- $\left[\begin{array}{rrr}1 & 3 & -1 \\3 & 0 & 5\end{array}\right]\left[\begin{array}{rr}3 & 0 \\-1 & 1 \\0 & 5\end{array}\right]$

• A) \( \left[\begin{array}{cc}-2 & 0 \\ 25 & 9\end{array}\right] \)
• B) \( \left[\begin{array}{rrr}3 & -3 & 0 \\ 0 & 0 & 25\end{array}\right] \)
• C) \( \left[\begin{array}{ll}0 & -2 \\ 9 & 25\end{array}\right] \)
• D) Does not exist

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Definitions:

Expressive

Demonstrating one's thoughts, feelings, or emotions openly and clearly through words, actions, or art.

Cognitive

Relating to the mental processes of perception, memory, judgment, and reasoning, as contrasted with emotional and volitional processes.

Regulator

Factors or mechanisms that control, govern, or adjust a process or system.

Illustrator

Non-verbal cues or gestures used to accentuate or complement verbal messages, often enhancing communication effectiveness.