Linear Algebra

A branch of mathematics.

Linear Systems

• 2 equations, 2 unknowns

• 3 equations, 3 unknowns

Foundations

• Basis

• Determinant

• Eigenvalues and Eigenvectors

• Idempotency

• Invertibility

• Linearity

• Matrix multiplication

• Null Space

• Orthogonality

• Positive definiteness

• Rank

• Rotation matrix

• Special matrices

• Trace

• Transposition

Elimination

• Elimination

• General Solution

Decompositions and Factorizations

• Diagonalization

• LU Decomposition

• Orthonormalization

Applications

• Markov Matrices

• Projection

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CategoryRicottone CategoryMathematics