Dashboard
Featured nodes
Roots
Public root
Templates
Test template
iCorps template
Guanyu's Latex template
Ivar's latex template
Family Tree template
Latex template
Router template
Trees
Public trees
Related nodes
Parents
1
Inner products in coordinate spaces
Siblings
12
Sort by title
Sort by date
Definition of inner/dot product on R^n
Definition of inner/dot product on C^n
The standard inner product on R^n is commutative.
The standard inner product on C^n is anticommutative.
The standard inner product on R^n commutes with (real) scalar multiplication.
The standard inner product on C^n commutes/anticommutes with scalar multiplication.
The standard inner product on R^n (or C^n) distributes over addition.
The standard inner product of a vector with itself is non-negative
The standard inner product of a vector with itself is 0 only for the 0 vector
The standard inner product on R^n can be written as the product of a vector and the transpose of a vector.
The standard inner product on C^n can be written as the product of a vector and the adjoint of a vector.
A matrix turns into its adjoint when moved to the other side of the standard inner product on C^n.
Knowen
β
Go to node
Help
Welcome to Knowen!
Edit test node (no login required)
Create new test node (no login required)
Not logged in
Sign in
Sign up
3
Privacy
Edit node
The standard inner product of a vector with itself is non-negative
Created almost 9 years ago
A
−
A
+
Put content here.
Parents
Inner products in coordinate spaces