Extra Pure Flashcards
1
Q
Homogeneous
A
When in is expressed as a sum of multiples of previous terms
2
Q
Closed form
A
Using the nth term
3
Q
C trial function
A
a
4
Q
cn trail function
A
an + b
5
Q
cn^2 trail function
A
an^2 + bn + d
6
Q
cr^n trail function
A
ar^n
7
Q
cn^2 r^n trail function
A
r^n (an^2 + bn + d)
8
Q
Characteristic equation for M
A
det (M - lambda I) = 0
9
Q
Normalised eigenvectors
A
Unit vector in the direction of the eigenvector
10
Q
Finding powers of square matrices equation 1
A
M = S LAMBDA S^-1
11
Q
Eigenvector: S
A
Eigenvector matrix
12
Q
Eigenvector: LAMBDA
A
Eigenvalues matrix
13
Q
Cayley theorem
A
Every matrix satisfies its own characteristic equation
