Transformations

Question 1

Anticlockwise rotation of θ° about (0,0)

Answer 1

(cosθ ⁡-sin⁡θ.)

sin⁡θ cos⁡θ

Question 2

Rotation of 90° anticlockwise about (0,0)

Answer 2

0 -1.

1 0

Question 3

Reflection in the line at θ° to the x axis

Answer 3

cos⁡2θ sin⁡2θ.

sin⁡2θ -c⁡os2θ

Question 4

Stretch of scale factor c in x direction

Answer 4

c 0.

0 1

Question 5

Stretch of scale factor c in y direction

Answer 5

1 0.

0 c

Question 6

Shear pulled in x direction

Answer 6

1 k

0 1

Question 7

Shear pulled in y direction

Answer 7

1 0

k 1

Question 8

Clockwise rotation of θ° about (0,0)

Answer 8

( cosθ ⁡ sin⁡θ.)

-sin⁡θ cos⁡θ