Year 1 Further Pure Flashcards

1
Q

(3x2)

A

3 rows (down)
2 columns (across)

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2
Q

Commutative

A

AB = BA

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3
Q

Associative

A

(AB)C = A(BC)

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4
Q

Distributive

A

A(B+C) = AB + AC
(A+B)C = AC + BC

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5
Q

Is a matrix commutative, associative and distributive

A

A matrix is not commutative but is associative and distributive

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6
Q

Invariant point

A

A point mapped to itself by a transformation

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7
Q

Invariant line

A

A point on a line which is mapped to another point on the line

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8
Q

Argand diagram

A

Y axis = complex numbers
X axis = real numbers

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9
Q

Sum of roots

A

-b/a

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10
Q

n Sigma r (r)

A

1/2n (n+1)

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11
Q

n Sigma r (r^2)

A

1/6n (n+1)(2n+1)

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12
Q

n Sigma r (r^3)

A

1/4 n^2 (n+1)^2

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13
Q

Singular matrix

A

Det = 0

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14
Q

Determinant

A

The scale factor of enlargement during a transformation

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15
Q

Consistent equation

A

Infinitely many solutions

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16
Q

Inconsistent equation

A

No solutions

17
Q

Three planes on top of each other

A

Three parallel

18
Q

Two planes on top of each other on not

A

Two parallel one not

19
Q

Triangular prism

A

Det = 0
Inconsistent equation

20
Q

Sheeth

A

Det = 0
Consistent equation

21
Q

Unique solution

A

Determinant != 0

22
Q

Dot product equation

A

Length of a x length of b x cos (theta) = a.b

23
Q

a.b = 0

A

Orthogonal

24
Q

r.n = a.n

A

General point . Normal = position vector . Normal