Year 1 Further Pure Flashcards
1
Q
(3x2)
A
3 rows (down)
2 columns (across)
2
Q
Commutative
A
AB = BA
3
Q
Associative
A
(AB)C = A(BC)
4
Q
Distributive
A
A(B+C) = AB + AC
(A+B)C = AC + BC
5
Q
Is a matrix commutative, associative and distributive
A
A matrix is not commutative but is associative and distributive
6
Q
Invariant point
A
A point mapped to itself by a transformation
7
Q
Invariant line
A
A point on a line which is mapped to another point on the line
8
Q
Argand diagram
A
Y axis = complex numbers
X axis = real numbers
9
Q
Sum of roots
A
-b/a
10
Q
n Sigma r (r)
A
1/2n (n+1)
11
Q
n Sigma r (r^2)
A
1/6n (n+1)(2n+1)
12
Q
n Sigma r (r^3)
A
1/4 n^2 (n+1)^2
13
Q
Singular matrix
A
Det = 0
14
Q
Determinant
A
The scale factor of enlargement during a transformation
15
Q
Consistent equation
A
Infinitely many solutions