Core Pure

Question 1

Possible values for arg z

Answer 1

-π < arg z <= π
(can be π, cannot be -π)

Question 2

What does negative determinant mean?

Answer 2

Orientation is reversed (order of vertices reversed as well)

Question 3

Inverse of 2D matrix

Answer 3

1/detM * (swap the leading diagonal, negate the others)

Question 4

Significance of zero determinant for a 2D transformation

Answer 4

• all points on the plane are mapped to a straight line through the origin
• and each set of object points which are mapped to a single image point all lie on a straight line

Question 5

Significance of determinant for a 2D transformation

Answer 5

determinant represents the area scale factor