Solve the Matrix Equation for X $A = \left[ \begin{array} { r r } 1 & 4 \\ 0 & - 2 \\ 6 & - 6 \end{array} \right]$

question 27

Multiple Choice

Solve the matrix equation for X.
-Let $A = \left[ \begin{array} { r r } 1 & 4 \\ 0 & - 2 \\ 6 & - 6 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 8 & - 6 \\ - 1 & 4 \\ 0 & 5 \end{array} \right] ; \quad B - X = 3 A$

• A)
• \(X = \left[ \begin{array} { r r } 5 & - 18 \\ - 1 & 10 \\ - 18 & 23 \end{array} \right]\)
• B)
• \(X = \left[ \begin{array} { r r } 11 & 6 \\ 1 & - 2 \\ 18 & - 13 \end{array} \right]\)
• C)
• \(X = \left[ \begin{array} { r r } 5 & - 18 \\ 1 & 10 \\ - 18 & 23 \end{array} \right]\)
• D)
• \(X = \left[ \begin{array} { r r } 11 & 6 \\ 1 & - 2 \\ 6 & - 13 \end{array} \right]\)

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Definitions:

Corpus Callosum

A band of nerve fibers that connects the two hemispheres of the brain, facilitating communication and coordination between them.

Cerebral Cortex

The outer layer of the brain, responsible for complex cognitive tasks such as thinking, perceiving, producing, and understanding language.

Limbic System

A set of brain structures involved in emotions, memory, and arousal.

Brainstem

A crucial part of the central nervous system responsible for basic life functions, such as breathing and heart rate.