1
Q
A + B
A
= B + A
2
Q
(A + B) + C
A
= A + (B + C)
3
Q
k(A + B)
A
= kA + kB
4
Q
AB (generally)
A
doesn’t = BA
5
Q
(AB)C
A
= A(BC)
6
Q
A(B + C)
A
= AB + AC
7
Q
AA
A
= A^2
8
Q
(A’)’
A
=A
9
Q
(A + B)’
A
= A’ + B’
10
Q
(kA)’
A
= kA’
11
Q
(AB)’
A
=B’A’
12
Q
AIor IA
A
=A
13
Q
AA^-1
A
= I
14
Q
4 Matrices to remember
A
Reflection in x axis, clockwise rotation, anti-clockwise rotation and dilation
15
Q
Reflection in x axis matrix
A
(Cos2Ø Sin2Ø)
(Sin2Ø -Cos2Ø)
16
Q
Anti clockwise rotation
A
(CosØ -SinØ)
(SinØ CosØ)
17
Q
Clockwise Rotation
A
(CosØ SinØ)
(-SinØ CosØ)
18
Q
Dilation for (ax,by)
A
(a 0)
(0 b)
Advanced Higher Maths
flashcards
Decks in class (18)
# Cards
-
Partial Fractions10
-
Differentiation14
-
Differential equations19
-
Binomial theorem19
-
Sequences and series16
-
Maclairins theorem9
-
Summation4
-
Proof by induction9
-
Integration20
-
Applied algebra and calculus16
-
Complex numbers23
-
Trigonometry exact values16
-
Trigonometry identities10
-
Differentiate/integrate trig1
-
Matrices25
-
Matrix identities18
-
Number theory9
-
Proof14
