FP4 matrix transformations COPY COPY

Question 1

Rotation 90 degrees anti-clockwise (about O)

Answer 1

0, -1,

1, 0

Question 2

Rotation 180 degrees (about O)

Answer 2

-1, 0

0, -1

Question 3

Rotation 90 degrees clockwise (about O)

Answer 3

0, 1

-1, 0

Question 4

Reflection in x-axis

Answer 4

1, 0

0, -1

Question 5

Reflection in y-axis

Answer 5

-1, 0

0, 1

Question 6

Reflection in line y=x

Answer 6

0, 1

1, 0

Question 7

Stretch x K from y-axis

Answer 7

k, 0

0, 1

Question 8

Stretch x K from x-axis

Answer 8

1, 0

0, k

Question 9

Shear, parallel to x-axis

Answer 9

1, k

0, 1

Question 10

Shear, parallel to y-axis

Answer 10

1, 0

k, 1

Question 11

Rotation of x anti-clockwise about O

Answer 11

cosx -sinx
sinx cosx
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Question 12

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

Answer 12

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

Question 13

Reflection in plane x=y

Answer 13

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

Question 14

Reflection in plane y=z

Answer 14

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

Question 15

Reflection in plane x=z

Answer 15

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

Question 16

Reflection in the line y = tan x

Answer 16

cos 2x sin 2x
sin 2x -cos 2x
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Question 17

Rotation of x about the x axis

Answer 17

1 0 0
0 cos x -sinx
0 sin x cos x
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Question 18

Rotation of x about the y axis

Answer 18

cos x 0 sin x
0 1 0
-sin x 0 cos x
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Question 19

Rotation of x about z axis

Answer 19

cos x -sin x 0
sin x cos x 0
0 0 1
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