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

question 1

Multiple Choice

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D.
- $$\left[ \begin{array} { c r } 12 & - 6 \\- 6 & 7\end{array} \right]$$

• A)
• \[P = \left[ \begin{array} { r r }
• 3 & 2 \\
• - 2 & 3
• \end{array} \right] , D = \left[ \begin{array} { r r }
• 16 & 0 \\
• 0 & 3
• \end{array} \right]\]
• B)
• \[P = \left[ \begin{array} { r r }
• 3 / \sqrt { 13 } & - 2 / \sqrt { 13 } \\
• - 2 / \sqrt { 13 } & 3 / \sqrt { 13 }
• \end{array} \right] , D = \left[ \begin{array} { r r }
• 3 & 0 \\
• 0 & 16
• \end{array} \right]\]
• C)
• \[P = \left[ \begin{array} { r r }
• 3 / \sqrt { 13 } & 2 / \sqrt { 13 } \\
• - 2 / \sqrt { 13 } & 3 / \sqrt { 13 }
• \end{array} \right] , D = \left[ \begin{array} { r r }
• 16 & 0 \\
• 0 & 3
• \end{array} \right]\]
• D)
• \[P = \left[ \begin{array} { r r }
• 3 & - 2 \\
• - 2 & 3
• \end{array} \right] , D = \left[ \begin{array} { r r }
• 16 & 0 \\
• 0 & 3
• \end{array} \right]\]

Identify strategies for branding and marketing on social media platforms.

Understand consumer expectations regarding online customer service responsiveness.

Distinguish between different promotional strategies’ impacts on brand value and customer relationships.

Grasp the significance of packaging in marketing and brand identity.

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Definitions:

Office Supply

Products and equipment used in offices, including stationery, furniture, and electronic devices.

Unsalable Inventory

Products that cannot be sold due to lack of demand, damage, or obsolescence.

Refund

A refund is the return of money to a purchaser following dissatisfaction with goods or services bought.

Packaging Process

The method and materials used to wrap or protect goods for distribution, storage, sale, and use.