Matrices (pt2)

Question 1

what are the two function of matrices?

Answer 1

• representing linear transformations (rotation, reflection, enlargments)
• solving simultaneous equations

Question 2

what is the dimension of a matrix?

Answer 2

Question 3

what is the name of the following matrices?

Answer 3

Question 4

what is associativity?

Answer 4

Question 5

what is commutativity?

Answer 5

Question 6

what is an identity matrix?

Answer 6

Question 7

what is a square matrix?

Answer 7

only square matrices can be rasied to a power

Question 8

is matrix multiplication assoiciative?

Answer 8

Yup

Question 9

Is matrix multiplication commutative?

Answer 9

Nope

Question 10

how do you enter matrices on calculator?

Answer 10

1. menu-1
2. MATH
3. MAT/VCM
4. select dimention of matrix
   OR to save matrices as variables
5. MAT/VCM
6. (to retrieve) , OPTN
7. MAT/VCM
8. Mat

Question 11

Answer 11

Question 12

What is the general form of linear functions/ transformations?

Answer 12

Matrix, position vector

Question 13

Answer 13

Question 14

What is the notation used to denote?

Answer 14

The image

Question 15

Using identity matrix to figure out transformations

Answer 15

Question 16

Answer 16

Question 17

Answer 17

Question 18

Answer 18

Question 19

Answer 19

Question 20

Find the angle and direction of rotation in each case

Answer 20

Question 21

Answer 21

Question 22

What is the difference between a stretch and a shear, and their general form :

Answer 22

Question 23

Answer 23

Question 24

What is the Shear Factor?

Answer 24

Question 25

Answer 25

Question 26

Answer 26

Question 27

Answer 27

Question 28

Answer 28

Question 29

Reflect in the plane z=0

Answer 29

Question 30

Answer 30

Question 31

What are the matrices for rotation about the x, y and z axis on an angle of θ?

Answer 31

notice how the sin is only switched for the y axis rotations

Question 32

Answer 32

Question 33

Answer 33

Question 34

what is the wording when describing rotaions in 3D?

Answer 34

rotation in the x axis

not plane

Question 35

What is an invariant point?

Answer 35

Question 36

Answer 36

Question 37

Answer 37

Question 38

What are invariant lines?

Answer 38

Question 39

Answer 39

Question 40

Answer 40

Question 41

Answer 41

Question 42

Answer 42

Question 43

Answer 43

Question 44

Answer 44

Question 45

Answer 45

Question 46

What is the formula for A^k+1 in terms of A?

Answer 46

(A^k)(A)