FP1

Question 1

Stretch in x by s.f. C

Answer 1

C 0

0 1

Question 2

Stretch in y by s.f. C

Answer 2

1 0

0 C

Question 3

Shear in x direction

Answer 3

1 k

0 1

Question 4

Shear in y direction

Answer 4

1 0

K 1

Question 5

Rotation (anti-clockwise)

Answer 5

Cos -sin

Sin Cos

Question 6

Reflection in y=(tanØ)x

Answer 6

Cos2Ø Sin2Ø

Sin2Ø -Cos2Ø

Question 7

Matrix I

Answer 7

1 0

0 1

Question 8

M followed by N

Answer 8

NM

Question 9

i^2

Answer 9

-1

Question 10

i

Answer 10

Root -1

Question 11

Z=a+bi

Z*=

Answer 11

Z*=a-bi

Question 12

Argand diagram

S=a+bi

Answer 12

Line from origin to (a,b)

Question 13

Geometric transformation from z=a+bi to z=a-bi

Answer 13

Reflection in real axis

Question 14

Root of 8i

Answer 14

Root8i = a+bi

Question 15

A+ß = ?

Answer 15

-b/a

Question 16

Aß = ?

Answer 16

c/a

Question 17

A + ß + Y = ?

Answer 17

-b/a

Question 18

Aß + ßY + AY = ?

Answer 18

c/a

Question 19

AßY = ?

Answer 19

-d/a

Question 20

If s is a complex number

|s| = ?

Answer 20

Root ss*

Question 21

Graph of |z-(a+bi)|

Answer 21

Distance from z to a+bi

Two points joined by a line

Question 22

|z-(a+bi)|=r

Answer 22

Circle of radius r, centre (a,b)

Question 23

|z-(a+bi)|=|z-(c+di)|

Answer 23

Perpendicular bisected between the points (a,b) and (c,d)

Means z is equidistant from points

Question 24

|z|=2

Answer 24

Circle centre origin radius 2

Question 25

How is arg measured?

Answer 25

From positive real to line

Anti-clockwise: +
Clockwise: -

Question 26

|s| = ?

Shorter

Answer 26

Root (a^2 + b^2)

Question 27

Singular matrix means

Answer 27

Determinant = 0

Question 28

Non singular matrix means

Answer 28

Determinant is a number

Question 29

Det of 4x4

Answer 29

ad - bc

Question 30

Inverse of 4x4

Answer 30

1/(ad-bc)
*
d -b
-c a