FP4 matrix transformations COPY COPY Flashcards
Rotation 90 degrees anti-clockwise (about O)
0, -1,
1, 0
Rotation 180 degrees (about O)
-1, 0
0, -1
Rotation 90 degrees clockwise (about O)
0, 1
-1, 0
Reflection in x-axis
1, 0
0, -1
Reflection in y-axis
-1, 0
0, 1
Reflection in line y=x
0, 1
1, 0
Stretch x K from y-axis
k, 0
0, 1
Stretch x K from x-axis
1, 0
0, k
Shear, parallel to x-axis
1, k
0, 1
Shear, parallel to y-axis
1, 0
k, 1
Rotation of x anti-clockwise about O
cosx -sinx
sinx cosx
IN FORMULA BOOKLET
Reflections in planes x=0, y=0, z=0
-1, 0, 0
0, 1, 0 for x
0, 0, 1
Reflection in plane x=y
0, 1, 0
1, 0, 0
0, 0, 1
Reflection in plane y=z
1, 0, 0
0, 0, 1
0, 1, 0
Reflection in plane x=z
0, 0, 1
0, 1, 0
1, 0, 0
Reflection in the line y = tan x
cos 2x sin 2x
sin 2x -cos 2x
IN FORMULA BOOKLET
Rotation of x about the x axis
1 0 0
0 cos x -sinx
0 sin x cos x
IN FORMULA BOOKLET
Rotation of x about the y axis
cos x 0 sin x
0 1 0
-sin x 0 cos x
IN FORMULA BOOKLET
Rotation of x about z axis
cos x -sin x 0
sin x cos x 0
0 0 1
IN FORMULA BOOKLET