linear transformations Flashcards
1
Q
reflection in y axis matrix
A
-1 0
0 1
2
Q
reflection in x axis matrix
A
1 0
0 -1
3
Q
reflection in y=x matrix
A
0 1
1 0
4
Q
reflection in y= -x matrix
A
0 -1
-1 0
5
Q
matrix rotating angle θ anticlockwise
A
cosθ -sinθ
sinθ cosθ
6
Q
represent a stretch in a matric
A
a 0
0 b
7
Q
enlargements scale factor? area scale factor ?
A
9 0
0 9
englargment scale factor 9
area scale factor det M so 9^2 for elargements
8
Q
area sclae factor?
A
det M
9
Q
reflection in plane x=0
A
-1 0 0
0 1 0
0 0 1
10
Q
reflection in plane y=0
A
1 0 0
0 -1 0
0 0 1
11
Q
reflection in plane z=0
A
1 0 0
0 1 0
0 0 -1
12
Q
rotation anticlockwise θ about x axis
A
1 0 0
0 cos -sin
0 sin cos
13
Q
rotation anticlockwise θ about y axis
A
cos 0 sin
0 1 0
-sin 0 cos
14
Q
rotation anticlockwise θ about z axis
A
cos -sin 0
sin cos 0
0 0 1
