FP4 matrix transformations Flashcards

1
Q

Rotation 90 degrees anti-clockwise (about O)

A

0, -1,

1, 0

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2
Q

Rotation 180 degrees (about O)

A

-1, 0

0, -1

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3
Q

Rotation 90 degrees clockwise (about O)

A

0, 1

-1, 0

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4
Q

Reflection in x-axis

A

1, 0

0, -1

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5
Q

Reflection in y-axis

A

-1, 0

0, 1

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6
Q

Reflection in line y=x

A

0, 1

1, 0

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7
Q

Stretch x K from y-axis

A

k, 0

0, 1

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8
Q

Stretch x K from x-axis

A

1, 0

0, k

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9
Q

Shear, parallel to x-axis

A

1, k

0, 1

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10
Q

Shear, parallel to y-axis

A

1, 0

k, 1

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11
Q

Rotation of x anti-clockwise about O

A

cosx -sinx
sinx cosx
IN FORMULA BOOKLET

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12
Q

Reflections in planes x=0, y=0, z=0

A

-1, 0, 0
0, 1, 0 for x
0, 0, 1

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13
Q

Reflection in plane x=y

A

0, 1, 0
1, 0, 0
0, 0, 1

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14
Q

Reflection in plane y=z

A

1, 0, 0
0, 0, 1
0, 1, 0

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15
Q

Reflection in plane x=z

A

0, 0, 1
0, 1, 0
1, 0, 0

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16
Q

Reflection in the line y = tan x

A

cos 2x sin 2x
sin 2x -cos 2x
IN FORMULA BOOKLET

17
Q

Rotation of x about the x axis

A

1 0 0
0 cos x -sinx
0 sin x cos x
IN FORMULA BOOKLET

18
Q

Rotation of x about the y axis

A

cos x 0 sin x
0 1 0
-sin x 0 cos x
IN FORMULA BOOKLET

19
Q

Rotation of x about z axis

A

cos x -sin x 0
sin x cos x 0
0 0 1
IN FORMULA BOOKLET