Find a Singular Value Decomposition of the Matrix A $$A = \left[ \begin{array} { r r } - 9 & 0 \\0 & 6\end{array} \right]$$

question 4

Multiple Choice

Find a singular value decomposition of the matrix A.
- $$A = \left[ \begin{array} { r r } - 9 & 0 \\0 & 6\end{array} \right]$$

• A)
• \(A = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right] \left[ \begin{array} { r r } - 9 & 0 \\ 0 & 6 \end{array} \right] \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right]\)
• B)
• \[A = \left[ \begin{array} { r r }
• - 9 & 0 \\
• 0 & 6
• \end{array} \right] \left[ \begin{array} { l l }
• 9 & 0 \\
• 0 & 6
• \end{array} \right] \left[ \begin{array} { l l }
• 1 & 0 \\
• 0 & 1
• \end{array} \right]\]
• C)
• \[A = \left[ \begin{array} { r r }
• - 1 & 0 \\
• 0 & 1
• \end{array} \right] \left[ \begin{array} { l l }
• 9 & 0 \\
• 0 & 6
• \end{array} \right] \left[ \begin{array} { l l }
• 1 & 0 \\
• 0 & 1
• \end{array} \right]\]
• D)
• \[A = \left[ \begin{array} { r r }
• - 9 & 0 \\
• 0 & 6
• \end{array} \right] \left[ \begin{array} { l l }
• 9 & 0 \\
• 0 & 6
• \end{array} \right] \left[ \begin{array} { r r }
• - 1 & 0 \\
• 0 & 1
• \end{array} \right]\]

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Definitions:

Strong Form

Strong form is a type of efficient market hypothesis that suggests all information, both public and private, is fully reflected in stock prices, making it impossible to consistently achieve higher returns.

EMH

Efficient Market Hypothesis, the theory that all available information is already reflected in stock prices, and it is impossible to consistently achieve higher returns.

Insider Information

Knowledge about a company's activities or financial condition that has not been made public and that can provide a financial advantage in the market.

Inefficient Market

A market in which asset prices do not always accurately reflect all available information, potentially allowing investors to earn abnormal returns.