4. Change of Basis Flashcards
1
Q
Definition
Change of Basis Matrix
A
2
Q
Proposition
P~v~ = v (coordinate vectors)
Proof
A
3
Q
Corollary
Change of Basis Matrix is Invertible
Proof
A
4
Q
Theorem
QA = BP
Proof
A
5
Q
Definition
Orthogonal Map
A
6
Q
Proposition
Orthogonal Map is Invertible
Proof
A
7
Q
Proposition
Test for Orthogonal Map
Proof
A
8
Q
Definition
A^{T}A = I_{n} orthogonal
A
9
Q
Proposition
Test for Orthogonal in Euclidean
Proof
A
10
Q
Proposition
Equivalences for Orthonormal Bases
Proof
A
11
Q
Lemma
Key Problems Revisited
A
12
Q
Lemma
Elementary Basis Operations
A
