If Possible, Find AB and State the Order of the Result

question 135

Multiple Choice

If possible, find AB and state the order of the result. $$A = \left[ \begin{array} { c c c } 5 & 0 & 0 \\0 & 4 & 0 \\0 & 0 & - 3\end{array} \right] , B = \left[ \begin{array} { c c c } 5 & 0 & 0 \\0 & - 5 & 0 \\0 & 0 & 4\end{array} \right]$$

• A) \(\left[ \begin{array} { c c c }
• 25 & 0 & 0 \\
• 0 & - 20 & 0 \\
• 0 & 0 & - 12
• \end{array} \right]\) Order: 3 × 3
• B) \(\left[ \begin{array} { c c c }
• 23 & 0 & 0 \\
• 0 & - 20 & 0 \\
• 0 & 0 & - 12
• \end{array} \right]\) Order: 3 × 3
• C) \(\left[ \begin{array} { c c c }
• 27 & 0 & 0 \\
• 0 & - 20 & 0 \\
• 0 & 0 & - 12
• \end{array} \right]\) Order: 3 × 3
• D) \(\left[ \begin{array} { c c c }
• 21 & 0 & 0 \\
• 0 & - 20 & 0 \\
• 0 & 0 & - 12
• \end{array} \right]\) Order: 3 × 3
• E) \(\left[ \begin{array} { c c c }
• 29 & 0 & 0 \\
• 0 & - 20 & 0 \\
• 0 & 0 & - 12
• \end{array} \right]\) Order: 3 × 3

---

Definitions:

NREM

Refers to the stages of sleep that are not accompanied by rapid eye movements, important for physical restoration and memory consolidation.

Delta Waves

These are slow brain waves that are most prominent during deep sleep, indicating a stage of deep rest and regeneration.

Alpha Waves

Brain waves detected by EEG that represent a state of relaxation with eyes closed, typically associated with calm wakefulness.

Sleep Spindles

A burst of oscillatory brain activity visible on an EEG that occurs during stage 2 of NREM sleep, thought to play a role in memory consolidation and synaptic plasticity.