Matrices (pt2) Flashcards
1
Q
what are the two function of matrices?
A
- representing linear transformations (rotation, reflection, enlargments)
- solving simultaneous equations
2
Q
what is the dimension of a matrix?
A
3
Q
what is the name of the following matrices?
A
4
Q
what is associativity?
A
5
Q
what is commutativity?
A
6
Q
what is an identity matrix?
A
7
Q
what is a square matrix?
A
only square matrices can be rasied to a power
8
Q
is matrix multiplication assoiciative?
A
Yup
9
Q
Is matrix multiplication commutative?
A
Nope
10
Q
how do you enter matrices on calculator?
A
- menu-1
- MATH
- MAT/VCM
- select dimention of matrix
OR to save matrices as variables - MAT/VCM
- (to retrieve) , OPTN
- MAT/VCM
- Mat
11
Q
A
12
Q
What is the general form of linear functions/ transformations?
A
Matrix, position vector
13
Q
A
14
Q
What is the notation used to denote?
A
The image
15
Q
Using identity matrix to figure out transformations
A
16
Q
A
17
Q
A
18
Q
A
19
Q
A
20
Q
Find the angle and direction of rotation in each case
A
21
Q
A
22
Q
What is the difference between a stretch and a shear, and their general form :
A
23
Q
A
24
Q
What is the Shear Factor?
A
25
26
27
28
29
Reflect in the plane z=0
30
31
What are the matrices for rotation about the x, y and z axis on an angle of θ?
| notice how the sin is only switched for the y axis rotations
32
33
34
what is the wording when describing rotaions in 3D?
rotation in the x **axis**
| not plane
35
What is an invariant point?
36
37
38
What are invariant lines?
39
40
41
42
43
44
45
46
What is the formula for A^k+1 in terms of A?
(A^k)(A)
