How to reflect across y=xThere is no simple formula for a reflection over a point like this, but we can follow the 3 steps below to solve this type of question First , plot the point of reflection , as shown below Second , similar to finding the slope, count the number of units up and over from the preimage to the point of reflection Given a point (x1, y1) and an equation for a line (yStep 1 First we have to write the vertices of the given triangle ABC in matrix form as given below Step 2 Since the triangle ABC is reflected about xaxis, to get the reflected image, we have to multiply the above matrix by the matrix given below Step 311/2/21 If the vector is v ∈ R 3, then the matrix that reflects about the plane is R v = I − 2 v v T It is easy to check that R v flips the sign of any vector which is a multiple of v and acts as identity on any vector perpendicular to v See Householder transformation for more details In particular, the plane y = z is perpendicular to ( 0, 1 2
Linear Transformation Combination Of Ccw 90 Rotation And Reflection On Y X With Product Of Matrix Youtube
