Matrix Reflection of a Figure
Read this topicExplanations 3
- Background Previously, we've seen how to rotate a figure using matrices. This last lesson in this series will cover the next matrix transformation, matrix reflection. Before we …
By Alex Federspiel, Anusha Rahman
- (Video) Matrix Reflections by statslectures This video by statslectures talks about matrix reflections. Summary To use matrices to reflect points, we use matrix multiplication! …
By Anusha Rahman
- In this set of lessons, we will learn about matrix rotation, matrix reflection (this lesson), matrix dilation, and matrix translation. Matrix Reflection of a Figure If we want t…
By Anusha Rahman
Problems 7
- A=[−1001]A = \begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}A=[−1001] Let x⃗\vec{x}x be a 2-dimensional vector. Which line in 2D space does AAA reflect x⃗\vec{x}x about?
- A=[0110]A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}A=[0110] Let x⃗\vec{x}x be a 2-dimensional vector. Which line in 2D space does AAA reflect x⃗\vec{x}x about?
- A=[−100−1]A = \begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix}A=[−100−1] Let x⃗\vec{x}x be a 2-dimensional vector. Which line in 2D space does AAA reflect x⃗\vec{x}x about?
- Suppose the matrix QQQ rotates a vector counterclockwise by an angle θ∈[0,π2)\theta \in [0, \frac{\pi}{2})θ∈[0,2π), and the matrix RRR reflects a vector across the x-axis. Now …
- Find the coordinates after the reflection. [551504];y−axis\\\begin{bmatrix}5&5&1\\5&0&4\end{bmatrix};y-axis[555014];y−axis
- Find the coordinates after the reflection. [951963];y=x\\\begin{bmatrix}9&5&1\\9&6&3\end{bmatrix};y=x[995613];y=x
- Find the coordinates of △\bigtriangleup△ABCABCABC after a reflection across the line y=−xy=-xy=−x.