Core Pure Flashcards
1
Q
What is |z1z2| equivalent to?
A
|z1||z2|
(Same logic for division)
2
Q
What is arg(z1z2) equivalent to?
A
arg(z1) + arg(z2)
(Same logic for division)
3
Q
What can the determinant of a matrix tell you?
A
The determinant of a matrix is the scale factor for the area or volume of shapes before and after the transformation.
4
Q
What 2x2 matrix rotates a point anticlockwise by θº about the origin?
A
[cosθ -sinθ]
[sinθ cosθ]
5
Q
What 3x3 matrix rotates a point θº anticlockwise around the positive x axis?
A
[1 0 0]
[0 c -s]
[0 s c]
6
Q
What 3x3 matrix rotates a point θº anticlockwise around the positive y axis?
A
[c 0 s]
[0 1 0]
[-s 0 c]
7
Q
What 3x3 matrix rotates a point θº anticlockwise around the positive z axis?
A
[c -s 0]
[s c 0]
[0 0 1]
