3. Linear Transformations to Matrices Flashcards
1
Q
Definition
Coordinate Vector
A
2
Q
Definition
Change of Basis Matrix
A
3
Q
Proposition
Pv = v
Proof
A
4
Q
Definition
Euclidean Form
A
5
Q
Definition
Euclidean Space
A
6
Q
Proposition
Cauchy-Schwarz Inequality
Proof
A
7
Q
Definition
Orthonormal Sequence
A
8
Q
Lemma
Properties of Orthonormal Sequences
Proof
A
9
Q
Theorem
Gram-Schmidt Process
Proof
A
10
Q
Lemma
Correspondence between Linear Maps and Matrices
A
11
Q
Proposition
T(u) = v <=> A_u_ = v
Proof
A
12
Q
Definition
The Problems
A
13
Q
Theorem
Bijection between Hom_{F}(U, V) and F^{m, n}
Proof
A
14
Q
Theorem
Composite Map Matrix
Proof
A
