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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

Solve the Problem A=[−114143]\mathrm { A } = \left[ \begin{array} { r r r } - 1 & 1 & 4 \\ 1 & 4 & 3 \end{array} \right]A=[−11​14​43​]

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