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
Orphans
Browse orphan nodes
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
Graph of nodes
New tree
New public tree
Not logged in
Sign in
Sign up
Help
Welcome to Knowen!
Edit test node (no login required)
Create new test node (no login required)
Now you are in the subtree of
Math
public knowledge tree.
Inner products in coordinate spaces
Parent nodes
Go to node
3
Edit node
The standard inner product on C^n commutes/anticommutes with scalar multiplication.
Created over 8 years ago
Put content here.
×
Quick navigation
Nodes loading ...