Oxford Maths Notes

Tag: linear-algebra

116 items with this tag.

Feb 20, 2026
01 - Linear System - Example 1 - Solving Linear Systems (Unique Solution)
- linear-algebra
- linear-algebra-1
Feb 20, 2026
02 - Linear System - Example 2 - Solving Linear Systems (Infinite Solutions)
- linear-algebra
- linear-algebra-1
Feb 20, 2026
03 - Linear System - Example 3 - Solving Linear Systems (No Solutions)
- linear-algebra
- linear-algebra-1
Feb 20, 2026
01. Linear System and Matrices
- linear-algebra
- linear-algebra-1
Feb 20, 2026
02. Inverses and Transposes
- linear-algebra
- linear-algebra-1
Feb 20, 2026
03. Vector Spaces
- linear-algebra
- linear-algebra-1
Feb 20, 2026
04. Bases
- linear-algebra
- linear-algebra-1
Feb 20, 2026
05. Dimension
- linear-algebra
- linear-algebra-1
Feb 20, 2026
06. Linear Transformations
- linear-algebra
- linear-algebra-1
Feb 20, 2026
07. Linear Maps and Matrices
- linear-algebra
- linear-algebra-1
Feb 20, 2026
08. Inner Product Spaces
- linear-algebra
- linear-algebra-1
Feb 20, 2026
01 - General Commutative Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
02 - Existence of RRE Form
- linear-algebra
- linear-algebra-1
Feb 20, 2026
03 - Uniqueness of RRE Form
- linear-algebra
- linear-algebra-1
Feb 20, 2026
04 - Steinitz Exchange Lemma
- linear-algebra
- linear-algebra-1
Feb 20, 2026
06 - Dimension Formula
- linear-algebra
- linear-algebra-1
Feb 20, 2026
07 - Rank-Nullity Theorem
- linear-algebra
- linear-algebra-1
Feb 20, 2026
08 - Matrix Representation of a Composition of Linear Maps
- linear-algebra
- linear-algebra-1
Feb 20, 2026
09 - Change of Basis Theorem
- linear-algebra
- linear-algebra-1
Feb 20, 2026
10 - Column Rank equals Row Rank
- linear-algebra
- linear-algebra-1
Feb 20, 2026
01 - Linear System
Feb 20, 2026
02 - Elementary Row Operations (EROs)
Feb 20, 2026
03 - Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
04 - Matrix Addition and Scalar Multiplication
- linear-algebra
- linear-algebra-1
Feb 20, 2026
05 - Matrix Multiplication
Feb 20, 2026
06 - Kronecker Delta
- linear-algebra
- linear-algebra-1
Feb 20, 2026
07 - Types of Matrices
- linear-algebra
- linear-algebra-1
Feb 20, 2026
08 - Matrix Inverses
Feb 20, 2026
09 - Standard Basis of Matrices
- linear-algebra
- linear-algebra-1
Feb 20, 2026
10 - Reduced Row Echelon Form (RREF)
- linear-algebra
- linear-algebra-1
Feb 20, 2026
11 - Square Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
12 - Diagonal Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
13 - Transpose
- linear-algebra
- linear-algebra-1
Feb 20, 2026
14 - Orthogonal
- linear-algebra
- linear-algebra-1
Feb 20, 2026
15 - Vector Spaces
Feb 20, 2026
16 - Fields
- linear-algebra
- linear-algebra-1
Feb 20, 2026
17 - Subspace
- linear-algebra
- linear-algebra-1
Feb 20, 2026
18 - Span
Feb 20, 2026
19 - Linear Independence
Feb 20, 2026
20 - Bases
- linear-algebra
- linear-algebra-1
Feb 20, 2026
21 - Row Rank
- linear-algebra
- linear-algebra-1
Feb 20, 2026
22 - Dimension
- linear-algebra
- linear-algebra-1
Feb 20, 2026
23 - Direct Sum
- linear-algebra
- linear-algebra-1
Feb 20, 2026
24 - Linear Map
- linear-algebra
- linear-algebra-1
Feb 20, 2026
25 - Types of Linear Maps
- linear-algebra
- linear-algebra-1
Feb 20, 2026
26 - Usage of Linear Maps
Feb 20, 2026
27 - Operations on Linear Maps
Feb 20, 2026
28 - Kernel
- linear-algebra
- linear-algebra-1
Feb 20, 2026
29 - Image
- linear-algebra
- linear-algebra-1
Feb 20, 2026
30 - Properties of Rank and Kernel
Feb 20, 2026
32 - Properties and Types of a Linear Map Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
33 - Similar Matrices
- linear-algebra
- linear-algebra-1
Feb 20, 2026
35 - Gram Matrix
- linear-algebra
- linear-algebra-1
Feb 20, 2026
36 - Types of Bilinear Forms
- linear-algebra
- linear-algebra-1
Feb 20, 2026
38 - Norm
- linear-algebra
- linear-algebra-1
Feb 20, 2026
39 - Orthogonal Maps
- linear-algebra
- linear-algebra-1
Feb 20, 2026
13 - Properties of Countability
- linear-algebra
- linear-algebra-1
Feb 20, 2026
01. Vector Spaces and Linear Maps
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
02. Rings and Polynomials
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
03. Quotient Spaces
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
04. Triangular Form and the Cayley-Hamilton Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
05. The Primary Decomposition Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
06. Jordan Normal Form
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
07. Dual Spaces
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
08. Inner Product Spaces
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
09. Singular Value Decomposition
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
02 - First Isomorphism Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
03 - Division Algorithm for Polynomials
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
04 - Minimal Polynomial divides Annihilating Polynomials
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
05 - Eigenvalue-Polynomial Characterisation
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
06 - Fundamental Theorem of Algebra
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
07 - Existence of an Algebraic Closure
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
08 - First Isomorphism Theorem - V2
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
09 - Rank-Nullity Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
10 - Block Matrix Decomposition of a Linear Map
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
11 - Triangularisation of a Linear Operator
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
12 - Cayley-Hamilton
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
13 - Primary Decomposition Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
14 - Diagonalisation Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
15 - Jordan Canonical Form for Nilpotent Operators
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
16 - Jordan Canonical Form Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
17 - Dual Basis Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
18 - Evaluation Map
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
19 - Dimension of Annihilators
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
20 - Properties of Annihilators
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
21 - Isomorphism of the Natural Mapping
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
22 - Isomorphism of Quotient Space Dual
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
23 - Dual Map Isomorphism Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
24 - Dual Basis Matrix Transpose Theorem
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
25 - Inner Product-Dual Isomorphism
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
26 - Existence and Linearity of an Adjoint Map
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
27 - Orthonormal Basis for Self-Adjoint Maps
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
28 - Equivalent Statements of Adjoint Map
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
29 - Orthonormal Basis for Unitary Maps
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
30 - Canonical Form of Orthogonal Operators
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
01 - Fields
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
02 - Vector Spaces
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
03 - Types of Sets
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
04 - Linear Maps
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
05 - Rings
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
06 - Polynomials
Feb 20, 2026
07 - Polynomials on Matrices
Feb 20, 2026
08 - Eigenvalues and Eigenvectors
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
08 - Polynomials on Linear Maps
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
09 - Quotient Space
Feb 20, 2026
10 - Invariant Subspaces
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
11 - Jordan Blocks
Feb 20, 2026
12 - Duals
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
13 - Dual Map
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
14 - Bilinear Forms
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
15 - Inner Product Spaces
Feb 20, 2026
16 - Gram-Schmidt Orthonormalisation Process
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
17 - Orthogonal Complements
- linear-algebra
- linear-algebra-a0
Feb 20, 2026
18 - Adjoints of Maps
Feb 20, 2026
19 - Orthogonal and Unitary
Feb 20, 2026
20 - Singular Value Decomposition

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