Flashcards
Matrix Transformation (2D)
Cards in this deck (23)
- 1In a 2x2 matrix, what tells you where (1,0) is mapped to?The first collumn
- 2In a 2x2 matrix, what tells you where (0,1) is mapped to?The second column
- 3What do we get when we multiply a matrix by points?Transformation
- 4The matrix [2 -1][0 3] is transformed. What is the image of [1 0] ?[2][0]
- 5The matrix [2 -1][0 3] is transformed. What is the image of [0 1] ?[-1][3]
- 6If (1,0) is mapped to (3,0) and (0,1) is mapped to (0,1) , what transformation has taken place?X has been stretched by factor 3
- 7For the matrix [a b][c d] what is the determinant?|M| = ad - bc
- 8What does the determinant tell us?The area scale factor of a transformation
- 9What is the determinant for rotations?|M|=1
- 10What is the determinant for reflections?|M|=-1
- 11What is the determinant for stretches?|M| = the stretch factor
- 12What is the determinant for enlargements?|M|= (the stretch factor)^2
- 13If transformation A is followed by transformation B, how can we write this?BA / b(a[X Y])
(this theoretically works for an infinite number of transformations, e.g. A B C D E F = FEDCBA) - 14[1][1] is the same as what coordinate?(1, 1)
- 15What matrix has the effect of a stretch factor 5 in the x direction?[5 0][0 1]
- 16What matrix has the effect of a stretch factor 3 in the y direction?[1 0][0 3]
- 17What matrix has the effect of an enlargement of factor 5?[5 0][0 5]
- 18What matrix has the effect of a reflection in the x axis?[1 0][0 -1]
- 19What matrix has the effect of a reflection in the y axis?[-1 0][0 1]
- 20What matrix has the effect of a reflection in y=x?[0 1][1 0]
- 21What matrix has the effect of a reflection in y=-x?[0 -1][-1 0]
- 22What matrix has the effect of a rotation 90 degrees CW?[0 1][-1 0]
- 23What matrix has the effect of a rotation 180 degrees?[-1 0][0 -1]
Information
- Description
- 2D transformations
- Created by
- Doc Boff · Sep 2018
- Updated
- Oct 6, 2018
- Views
- 5
- Rating