# Linear Algebra

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• 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
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It respects addition and scalar multiplication.
Linear Mapping
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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
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Any polynomial of degree n has n roots.
Fundamental Theorem of Algebra
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Multiplicity as root of characteristic equation.
Algebraic
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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.

Subspace

### Card 3

#### Front

The set of all possible linear combinations.

#### Back ### Card 4

#### Front

It's linearly independent and spans V.

#### Back ### Card 5

#### Front

The maximum number of linearly independent vectors in V.

#### Back ## Comments

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