Matrix a Is Given $$A = \left[ \begin{array} { r r } 2 & - 7 \\6 & 0 \\- 6 & 9 \\7 & - 2\end{array} \right]$$

question 49

Multiple Choice

Matrix A is given. Find appropriate identity matrices I_m and I_n such that I_mA = A and AI_n = A.
- $$A = \left[ \begin{array} { r r } 2 & - 7 \\6 & 0 \\- 6 & 9 \\7 & - 2\end{array} \right]$$

• A) \(\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l l l } 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right]\)
• B) \(\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right]\)
• C) \(\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l l l } 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array} \right]\)
• D) \(\mathrm { I } _ { \mathrm { m } } = \left[ \begin{array} { l l } 1 & 0 \\ 0 & 1 \end{array} \right] , \mathrm { I } _ { \mathrm { n } } = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\)

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Definitions:

Specialization

Focusing on a narrow area of expertise or activity, allowing a business or individual to become a known expert in that area.

Segmentation

The process of dividing a market into distinct groups of buyers with different needs, characteristics, or behaviors who might require separate products or marketing strategies.

Law Of Experience

Suggests that with increased experience or production, companies can reduce costs and improve efficiency, often referred to as the learning curve.

Unit Costs

The expenditure a business faces for the production, storage, and selling of an individual unit of a given product or service.