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Linear Algebra

The branch of mathematics concerning linear equations, linear maps and their representations in vector spaces.

Theories

2

General Theory

Linear Algebra

Theorems

21

Rank–Nullity Theorem

Cayley–Hamilton Theorem

Spectral Theorem

Perron–Frobenius Theorem

Sylvester's Law of Inertia

Cauchy–Schwarz Inequality

Singular Value Decomposition

Gershgorin Circle Theorem

Courant–Fischer Min-Max Theorem

Jordan Normal Form Theorem

Cholesky Decomposition

Principal Axis Theorem

Polar Decomposition

Min-Max Theorem

Singular Value Theorem

Hermite Normal Form

Cramer's Rule

Smith Normal Form

Eckart–Young–Mirsky Theorem

Gelfand's Formula

Bauer–Fike Theorem