\[ \begin{align}\begin{aligned}\newcommand{\bs}{\boldsymbol}
\newcommand{\dp}{\displaystyle}
\newcommand{\rm}{\mathrm}
\newcommand{\pd}{\partial}\\\newcommand{\cd}{\cdot}
\newcommand{\cds}{\cdots}
\newcommand{\dds}{\ddots}
\newcommand{\vds}{\vdots}
\newcommand{\lv}{\lVert}
\newcommand{\rv}{\rVert}
\newcommand{\wh}{\widehat}\\\newcommand{\0}{\boldsymbol{0}}
\newcommand{\a}{\boldsymbol{a}}
\newcommand{\b}{\boldsymbol{b}}
\newcommand{\e}{\boldsymbol{e}}
\newcommand{\i}{\boldsymbol{i}}
\newcommand{\j}{\boldsymbol{j}}
\newcommand{\p}{\boldsymbol{p}}
\newcommand{\q}{\boldsymbol{q}}
\newcommand{\u}{\boldsymbol{u}}
\newcommand{\v}{\boldsymbol{v}}
\newcommand{\w}{\boldsymbol{w}}
\newcommand{\x}{\boldsymbol{x}}
\newcommand{\y}{\boldsymbol{y}}\\\newcommand{\A}{\boldsymbol{A}}
\newcommand{\B}{\boldsymbol{B}}
\newcommand{\C}{\boldsymbol{C}}
\newcommand{\N}{\boldsymbol{N}}
\newcommand{\X}{\boldsymbol{X}}\\\newcommand{\R}{\boldsymbol{\mathrm{R}}}\\\newcommand{\ld}{\lambda}
\newcommand{\Ld}{\Lambda}
\newcommand{\sg}{\sigma}
\newcommand{\Sg}{\Sigma}
\newcommand{\th}{\theta}\\\newcommand{\bb}{\begin{bmatrix}}
\newcommand{\eb}{\end{bmatrix}}
\newcommand{\bv}{\begin{vmatrix}}
\newcommand{\ev}{\end{vmatrix}}\\\newcommand{\im}{^{-1}}
\newcommand{\pr}{^{\prime}}
\newcommand{\ppr}{^{\prime\prime}}\end{aligned}\end{align} \]
Linear Algebra Notes¶
Study notes of Introduction to Linear Algebra, 5th Edition by Gilbert Strang
- Chapter 1 Introduction to Vectors
- Chapter 2 Solving Linear Equations
- Chapter 3 Vector Spaces and Subspaces
- Chapter 4 Orthogonality
- Chapter 5 Determinants
- Chapter 6 Eigenvalues and Eigenvectors
- Chapter 7 The Singular Value Decomposition (SVD)
- Chapter 8 Linear Transformations
- Chapter 9 Complex Vectors and Matrices
- Chapter 12 Linear Algebra in Probability & Statistics