core pure

Question 1

associativity

Answer 1

operation can be done in any order
(a.b).c = (b.c).a

Question 2

commutative

Answer 2

an operation is commutative is a.b = b.a

Question 3

is addition of matrices commutative?

Answer 3

yes

Question 4

is subtraction of matrices commutative?

Answer 4

no

Question 5

is addition of matrices associative?

Answer 5

yes

Question 6

is subtraction of matrices associative?

Answer 6

no

Question 7

is multiplication of matrices associative?

Answer 7

yes

Question 8

is multiplication of matrices commutative?

Answer 8

no

Question 9

how do you know if two matrices will multiple?

Answer 9

(axb) (cxd)
where b and c are the same
and the product is axd

Question 10

method for working out transformations

Answer 10

2 point trick

Question 11

rotation matrix

Answer 11

cosθ -sinθ
sinθ cosθ

Question 12

1 a
0 1

Answer 12

sheer parallel to x-axis mapping (0,1) to (a,1)

Question 13

1 0
b 1

Answer 13

sheer parallel to y-axis mapping (1,0) to (1,b)

Question 14

reflection in xz plane (y=0)

Answer 14

y -1

Question 15

transformation b followed by transformation a

Answer 15

is the same as doing transformation ba

Question 16

invariant point

Answer 16

does not move when a transformation is applied