Matrices

Question 1

What is the matrix rotation represented 90

Answer 1

0 -1
1 0

Question 2

Rotation 180 anticlockwise

Answer 2

-1 0
0 -1

Question 3

Matrix rotation 270 anticlockwise

Answer 3

0 1
-1 0

Question 4

Matrix reflection x axis

Answer 4

1 0
0 -1

Question 5

Matrix reflection y axis

Answer 5

-1 0
0 1

Question 6

Matrix reflection y =x

Answer 6

0 1
1 0

Question 7

Matrix stretch formation

Answer 7

C 0
0 1

Where C is the SF

Question 8

Matrix formation enlargement

Answer 8

K 0
0 K

Where K is the enlargement

Question 9

Shear, x axis invariant

Answer 9

1 K
0 1

Where (0,1) goes to (K,1)

Question 10

Shear y axis invariant

Answer 10

1 0
K 1

0,1 to 1,K

Question 11

Properties of matrix multiplication

Answer 11

Not commutative AB≠BA
Associative so A(BC)=(AB)C

Question 12

Characteristics of a sheaf(3D)

Answer 12

If the det=0
If all 3 equations are consistent so they have infinite solutions

Question 13

Characteristics of a Triangular prism(3D)

Answer 13

If the det=0
Equations are inconsistent
No solutions

Question 14

Characteristics of 3 planes intersecting at 1 point

Answer 14

Consistent equations
Only one solution
Det ≠0

Question 15

Characteristics of 2 Planes parallel and one cutting through both

Answer 15

Planes 1 and 2 parallel
Det = 0
No solutions so inconsistent

Question 16

Characteristics of a same plane

Answer 16

All equations are scalar multiples of one another
They are the same equation so infinite solution
Det = 0

Question 17

If the det is -1 what does that mean

Answer 17

It means a reflection

Question 18

If det is 1 what does that mean

Answer 18

Rotation