Matricies Flashcards
1
Q
What is the matrix for a rotation. (angle anticlockwise)
A
cosx -sinx
sinx cosx
2
Q
What is the matrix for a reflection in the x axis
A
1 0
0 -1
3
Q
what is the matrix for a reflection in the y axis
A
-1 0
0 1
4
Q
what is the matrix for a reflection in the line y = x
A
0 1
1 0
5
Q
what is the matrix for a reflection in the line y = -x
A
0 -1
-1 0
6
Q
what is the matrix for an enlargement (scale factor k)
A
k 0
0 k
7
Q
What is the matrix for a stretch in the x direction (scale factor k)
A
k 0
0 1
8
Q
What is the matrix for a stretch in the y direction (scale factor k)
A
1 0
0 k
9
Q
What is the matrix for a shear (x axis fixed), factor k
A
1 k
0 1
10
Q
What is the matrix for a shear (x axis fixed), factor k
A
1 0
k 1
11
Q
How to check for a line of invariant points
A
( 2 1 ) (x) (x)
( 4 2 ) (y) = (y)
12
Q
A
