Find AB and BA $A = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$

question 77

Multiple Choice

Find AB and BA.
- $A = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } 1 & 1 & - 5 \\ 8 & - 9 & - 5 \\ - 1 & 4 & 5 \end{array} \right]$

• A) \(A B = \left[ \begin{array} { r r r } 1 & 1 & - 5 \\ 8 & - 9 & - 5 \\ - 1 & 4 & 5 \end{array} \right] ; B A = \left[ \begin{array} { r r r } 1 & 8 & - 1 \\ 1 & - 9 & 4 \\ - 5 & - 5 & 5 \end{array} \right]\)
• B) \(A B = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 0 & - 9 & 0 \\ 0 & 0 & 5 \end{array} \right] ; B A = \left[ \begin{array} { r r r } 1 & 0 & 0 \\ 0 & - 9 & 0 \\ 0 & 0 & 5 \end{array} \right]\)
• C) \(A B = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] ; B A = \left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\)
• D) \(A B = \left[ \begin{array} { r r r } 1 & 1 & - 5 \\ 8 & - 9 & - 5 \\ - 1 & 4 & 5 \end{array} \right] ; B A = \left[ \begin{array} { r r r } 1 & 1 & - 5 \\ 8 & - 9 & - 5 \\ - 1 & 4 & 5 \end{array} \right]\)

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Definitions:

Rural Areas

Regions characterized by low population density and vast open spaces, often dominated by agricultural work and less developed infrastructure.

World-Class Industrial Power

Refers to a nation or state that possesses dominant, highly developed, and advanced industrial capabilities, impacting the global economy significantly.

Industrial Development

The process of increasing the economic productivity and manufacturing capabilities of a nation or region, often through strategic investments and policies.

Large-Scale Process

A method or operation involving a large volume of production or processing, often utilizing advanced and mechanized systems.