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❯
Year 2
❯
Term 1
❯
A0 - Linear Algebra
❯
Theorems
Theorems
31 items under this folder.
Dec 31, 2025
01 - Isomorphism between Linear Maps and Matrices
Dec 31, 2025
02 - First Isomorphism Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
03 - Division Algorithm for Polynomials
linear-algebra
linear-algebra-a0
Dec 31, 2025
04 - Minimal Polynomial divides Annihilating Polynomials
linear-algebra
linear-algebra-a0
Dec 31, 2025
05 - Eigenvalue-Polynomial Characterisation
linear-algebra
linear-algebra-a0
Dec 31, 2025
06 - Fundamental Theorem of Algebra
linear-algebra
linear-algebra-a0
Dec 31, 2025
07 - Existence of an Algebraic Closure
linear-algebra
linear-algebra-a0
Dec 31, 2025
08 - First Isomorphism Theorem - V2
linear-algebra
linear-algebra-a0
Dec 31, 2025
09 - Rank-Nullity Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
10 - Block Matrix Decomposition of a Linear Map
linear-algebra
linear-algebra-a0
Dec 31, 2025
11 - Triangularisation of a Linear Operator
linear-algebra
linear-algebra-a0
Jan 18, 2026
12 - Cayley-Hamilton
linear-algebra
linear-algebra-a0
Dec 31, 2025
13 - Primary Decomposition Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
14 - Diagonalisation Theorem
linear-algebra
linear-algebra-a0
Jan 18, 2026
15 - Jordan Canonical Form for Nilpotent Operators
linear-algebra
linear-algebra-a0
Dec 31, 2025
16 - Jordan Canonical Form Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
17 - Dual Basis Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
18 - Evaluation Map
linear-algebra
linear-algebra-a0
Dec 31, 2025
19 - Dimension of Annihilators
linear-algebra
linear-algebra-a0
Dec 31, 2025
20 - Properties of Annihilators
linear-algebra
linear-algebra-a0
Dec 31, 2025
21 - Isomorphism of the Natural Mapping
linear-algebra
linear-algebra-a0
Dec 31, 2025
22 - Isomorphism of Quotient Space Dual
linear-algebra
linear-algebra-a0
Dec 31, 2025
23 - Dual Map Isomorphism Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
24 - Dual Basis Matrix Transpose Theorem
linear-algebra
linear-algebra-a0
Dec 31, 2025
25 - Inner Product-Dual Isomorphism
linear-algebra
linear-algebra-a0
Dec 31, 2025
26 - Existence and Linearity of an Adjoint Map
linear-algebra
linear-algebra-a0
Dec 31, 2025
27 - Orthonormal Basis for Self-Adjoint Maps
linear-algebra
linear-algebra-a0
Jan 18, 2026
28 - Equivalent Statements of Adjoint Map
linear-algebra
linear-algebra-a0
Dec 31, 2025
29 - Orthonormal Basis for Unitary Maps
linear-algebra
linear-algebra-a0
Dec 31, 2025
30 - Canonical Form of Orthogonal Operators
linear-algebra
linear-algebra-a0
Dec 31, 2025
31 - SVD