Definitions Y1S2 Flashcards
1
Q
Vector space
A
2
Q
Isomorphism, isomorphic
A
3
Q
Kernel
A
4
Q
Image
A
5
Q
Linear span
A
6
Q
Linearly independent list of vectors
A
7
Q
Spanning list
A
8
Q
Basis
A
9
Q
Coordinate vector
A
10
Q
Finite/ infinite dimension vector space
A
11
Q
M represents a linear map
A
12
Q
Linear operator
A
13
Q
Change of bases matrix
A
Should be vi at the end not vj
14
Q
Equivalent matrices
A
15
Q
Similar matrices
A
16
Q
Rank of a linear map
A
17
Q
Nullity of a linear map
A
18
Q
Nullity of a matrix
A
19
Q
Direct sum
A
20
Q
Multilinear
A
21
Q
Alternating
A
In terms of a determinant function
22
Q
Det of a mapping
A
23
Q
The (i,j) minor
A
24
Q
Adjugate of A
A
25
Eigenvalue
26
Det A
27
Characteristic Polynomial of a square matrix
28
29
30
31
Diagonality of a linear operator
32
Diagonality of a matrix
33
Algebraic multiplicity
34
Geometric multiplicity
35
Inner product space
36
Conjugate linear (what is the other name)
37
Norm
38
Orthogonal/ Perpendicular
39
Orthogonal complement
40
Maximal rank
41
Column space fhidgiudbiusbeoducbiub
42
Orthogonal projection
43
Adjoint to phi
44
Self and skew adjoint
45
2 types of matrices
46
Orthogonal transform
47
Unitary transform
48
Phi invariant
49
50
Normal linear operator
51
Orthogonally diagonalisable
52
A dagger
