Linear Algebra

HideShow resource information
  • Created by: Libby
  • Created on: 27-05-15 11:36
A set with an operation of addition and (real) scalar multiplication.
Real Vector Space
1 of 13
A subset of V, but also a vector in its own right.
Subspace
2 of 13
The set of all possible linear combinations.
Span
3 of 13
It's linearly independent and spans V.
Basis
4 of 13
The maximum number of linearly independent vectors in V.
Dimension
5 of 13
It respects addition and scalar multiplication.
Linear Mapping
6 of 13
The elements from the original set which are mapped to zero.
Kernel
7 of 13
Dimension of kernel plus dimension of range equals the dimension of U.
Rank Nullity Theorem
8 of 13
Any polynomial of degree n has n roots.
Fundamental Theorem of Algebra
9 of 13
Multiplicity as root of characteristic equation.
Algebraic
10 of 13
Number of linearly independent eigenvectors to value.
Geometric
11 of 13
Hermitian, positive and definite.
Inner Product
12 of 13
Homogeneity, positive definiteness, triangle inequality.
Norm
13 of 13

Other cards in this set

Card 2

Front

A subset of V, but also a vector in its own right.

Back

Subspace

Card 3

Front

The set of all possible linear combinations.

Back

Preview of the front of card 3

Card 4

Front

It's linearly independent and spans V.

Back

Preview of the front of card 4

Card 5

Front

The maximum number of linearly independent vectors in V.

Back

Preview of the front of card 5
View more cards

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all Linear Algebra resources »