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)
• \[P = \left[ \begin{array} { r r }
• 3 & - 2 \\
• - 2 & 3
• \end{array} \right] , D = \left[ \begin{array} { r r }
• 16 & 0 \\
• 0 & 3
• \end{array} \right]\]

Understand the calculation and interpretation of profit margin and total asset turnover.

Grasp the concept and implications of foreign exchange rates in international finance.

Identify and explain the roles of controlling investors and their influence in financial statements.

Calculate and understand currency conversion rates and their implications on financial transactions.

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