COURSE·FQF1007

Linear Algebra

Quantitative Methods & Mathematics

25 Chapters

Offered in

Finance & Quantitative FinanceFQF1007coreQuantitative Finance

Chapters

Ch 1FREE

Vectors and Their Algebra

9 min

Ch 2FREE

Matrices and Linear Transformations

15 min

Ch 3

Special Matrices and Fundamental Operations

11 min

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Ch 4

Solving Linear Systems by Elimination

9 min

Ch 5

Triangular Factorizations LU, LDU, and LDL^T

16 min

Ch 6

Matrix Inverses

11 min

Ch 7

Vector Spaces and Subspaces

12 min

Ch 8

Basis and Dimension of the Fundamental Subspaces

15 min

Ch 9

Orthogonality and Projections

10 min

Ch 10

Least Squares and the Normal Equations

11 min

Ch 11

Gram-Schmidt and QR Factorization

9 min

Ch 12

Determinants Definition and Properties

14 min

Ch 13

Applications of Determinants

11 min

Ch 14

Eigenvalues and Eigenvectors

14 min

Ch 15

Diagonalization of Matrices

14 min

Ch 16

Symmetric Matrices and the Spectral Theorem

13 min

Ch 17

Positive Definite Matrices and Quadratic Optimization

14 min

Ch 18

Singular Value Decomposition and Data Analysis

14 min

Ch 19

Linear Transformations, Change of Basis, and Computer Graphics

12 min

Ch 20

Differential Equations and Matrix Exponentials

12 min

Ch 21

Graphs, Networks, and Finite Differences

15 min

Ch 22

Fourier Analysis and Complex Exponentials

12 min

Ch 23

Markov Chains, Population Models, and Economic Systems

14 min

Ch 24

Linear Programming

14 min

Ch 25

Numerical Linear Algebra and Cryptography

14 min