The Eigenvalue-Eigenvector Pairs for the Matrix $$A = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }$$

question 35

Multiple Choice

The eigenvalue-eigenvector pairs for the matrix $$A = \left( \begin{array} { c c c } 4 & 0 & 0 \\0 & 3 & 1 \\0 & - 1 & 1\end{array} \right) \mathrm { X }$$ are Select all that apply.

• A) \[4 , \left( \begin{array} { l }
• 1 \\
• 0 \\
• 0
• \end{array} \right)\]
• B) \[2 , \left( \begin{array} { c }
• 0 \\
• 1 \\
• - 1
• \end{array} \right)\]
• C) \[2 , \left( \begin{array} { c }
• 1 \\
• - 1 \\
• 0
• \end{array} \right)\]
• D) \[2 , \left( \begin{array} { l }
• 0 \\
• 1 \\
• 1
• \end{array} \right)\]
• E) \[2 , \left( \begin{array} { l }
• 0 \\
• 1 \\
• 0
• \end{array} \right)\]

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Definitions:

Neurotransmitter

Chemical substances that transmit signals across a chemical synapse, from one neuron to another neuron, muscle cell, or gland cell.

Analogy

A comparison between two things, typically for the purpose of explanation or clarification, showing similarities in some respects.

Action Potentials

Electrical impulses that travel along neurons, allowing them to communicate with each other and with other types of cells.

Terminal Buttons

The small knobs at the end of an axon that release chemical signals from the neuron into the synapse to stimulate the next neuron.