Given the Following Matrices Show That $( \boldsymbol { A } + \boldsymbol { B } ) ^ { \prime } = \boldsymbol { A } ^ { \prime } + \boldsymbol { B } ^ { \prime }$

question 9

Essay

Given the following matrices $$\boldsymbol { A } = \left( \begin{array} { l l } a _ { 11 } & a _ { 12 } \\a _ { 21 } & a _ { 22 }\end{array} \right) , \boldsymbol { B } = \left( \begin{array} { l l } b _ { 11 } & b _ { 12 } \\b _ { 21 } & b _ { 22 }\end{array} \right) , \text { and } \boldsymbol { C } = \left( \begin{array} { l l l } c _ { 11 } & c _ { 12 } & c _ { 13 } \\c _ { 21 } & c _ { 22 } & c _ { 23 }\end{array} \right)$$
show that $( \boldsymbol { A } + \boldsymbol { B } ) ^ { \prime } = \boldsymbol { A } ^ { \prime } + \boldsymbol { B } ^ { \prime }$ and $( \boldsymbol { A } \boldsymbol { C } ) ^ { \prime } = \boldsymbol { C } ^ { \prime } \boldsymbol { A } ^ { \prime }$ .

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Definitions:

Deviant Impulses

refer to thoughts or behaviors that significantly deviate from the societal norms or values.

Commit Crimes

The act of engaging in activities that are declared illegal by law, which can involve violations ranging from minor infractions to serious felonies.

Zero Tolerance

A strict enforcement policy where predetermined actions are met with specific and non-negotiable penalties.

Social Control

Refers to the ways in which a social system attempts to regulate people’s thoughts, feelings, appearance, and behavior.