Solve the Problem $\mathrm { A } = \left[ \begin{array} { r r r } - 1 & 1 & 4 \\ 1 & 4 & 3 \end{array} \right]$

question 138

Multiple Choice

Solve the problem.
- The matrix $\mathrm { A } = \left[ \begin{array} { r r r } - 1 & 1 & 4 \\ 1 & 4 & 3 \end{array} \right]$ represents the coordinates of the triangle. Find the product $\left[ \begin{array} { r r } 1 & 0 \\ 0 & - 1 \end{array} \right] \cdot \mathrm { A }$ and explain the effect on the graph of the triangle.

• A) \(\left[ \begin{array} { r r r } - 1 & 1 & 4 \\ - 1 & - 4 & - 3 \end{array} \right]\); This matrix represents the reflection of the triangle across the \(x\)-axis.
• B) \(\left[ \begin{array} { r r r } - 1 & 1 & 4 \\ - 1 & - 4 & - 3 \end{array} \right]\); This matrix represents the reflection of the triangle across the y-axis.
• C) \(\left[ \begin{array} { r r r } 1 & - 1 & - 4 \\ 1 & 4 & 3 \end{array} \right]\); This matrix represents the reflection of the triangle across the \(\mathrm { x }\)-axis.
• D) \(\left[ \begin{array} { r r r } 1 & - 1 & - 4 \\ 1 & 4 & 3 \end{array} \right]\); This matrix represents the reflection of the triangle across the y-axis.

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Definitions:

Gain-Sharing Plan

A program designed to increase productivity and performance through shared rewards when specific company goals are achieved.

Labour Costs

The total expenses incurred by employers for the payment of wages, benefits, and taxes associated with the employment of labor.

Work-Related Accidents

Incidents that occur in the course of employment, leading to physical or mental injury.

Scanlon Plan

A type of gain-sharing program that rewards employees for contributions to productivity improvements through cost savings, emphasizing teamwork and participation.