Show by using matrix method that a reflection about the line #y=x# followed by rotation about origin through 90° +ve is equivalent to reflection about y-axis.?
1 Answer
Jul 14, 2018
Please see the explanation below
Explanation:
The matrix of the reflection in the line
The matrix of the rotation anticlockwise by
The combination of matrices
The matrix of the reflection in the y-axis is
Therefore,
For verification, you can take a vector