Matrix Transformations

Question 1

In 2D, what is the transformation matrix for a reflection in the line y = tanΘ x

Anti clockwise from the top left

Answer 1

cos2θ sin2θ
sin2θ cos2θ

Question 2

In 2D, what is the transformation matrix for a rotation of θ, about the origin

Answer 2

cosθ -sinθ
sinθ cosθ

Question 3

how to find the rotation in 3D

Answer 3

leave the basic row and column, then, insert the 2D transformation matrix to the other 2 dimensions, for j, -sin x and sinx are opposite

Question 4

How to find the determinant of a 2D

Answer 4

ad - bc

Question 5

How to find the inverso of a 2D

Answer 5

1/det(M) x

d -b
-c a