Orthogonally Diagonalize the Matrix, Giving an Orthogonal Matrix P and a Diagonal

question 22

Multiple Choice

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.
- $\left[ \begin{array} { l l } 3 & 2 \\ 2 & 6 \end{array} \right]$

• A)
• \[P = \left[ \begin{array} { r r }
• 1 & - 2 \\
• 2 & 1
• \end{array} \right] , D = \left[ \begin{array} { l l }
• 8 & 0 \\
• 0 & 3
• \end{array} \right]\]
• B)
• \[P = \left[ \begin{array} { r r }
• 1 / \sqrt { 5 } & - 2 / \sqrt { 5 } \\
• - 2 / \sqrt { 5 } & 1 / \sqrt { 5 }
• \end{array} \right] , D = \left[ \begin{array} { l l }
• 2 & 0 \\
• 0 & 7
• \end{array} \right]\]
• C)
• \[P = \left[ \begin{array} { r r }
• 1 & - 2 \\
• 2 & 1
• \end{array} \right] , D = \left[ \begin{array} { l l }
• 7 & 0 \\
• 0 & 2
• \end{array} \right]\]
• D)
• \[\mathrm { P } = \left[ \begin{array} { c c }
• 1 / \sqrt { 5 } & - 2 / \sqrt { 5 } \\
• 2 / \sqrt { 5 } & 1 / \sqrt { 5 }
• \end{array} \right] , \mathrm { D } = \left[ \begin{array} { l l }
• 7 & 0 \\
• 0 & 2
• \end{array} \right]\]

Understand the basic principles of how gender differences affect alcohol metabolism.

Recognize the psychological and physiological effects of hypnosis.

Dispel myths surrounding the practice of meditation.

Outline the concept of the drug rebound effect.

---

Definitions:

Legal Defensibility

The ability of a decision or policy to be upheld in a court of law, often concerning adherence to laws and regulations.

Evaluator Domination

A scenario in performance reviews or evaluations where the assessor's biases or power disproportionately influences the outcome.

Performance Evaluation Bias

The presence of subjective judgments or prejudices that unfairly influence the assessment of an employee's performance.

Frame-Of-Reference Training

A training method that helps individuals understand and evaluate their performance or behaviors using a common standard or perspective.