major update to both English and Japanese

The-Art-of-Linear-Algebra-j.tex

@@ -41,14 +41,15 @@ with the kindest help of Gilbert Strang
 \vspace{-5pt}
  
 \begin{abstract}
-Gilbert Strang 教授の書籍『Linear Algebra for Everyone』
+Gilbert Strang 教授の書籍『Linear Algebra for Everyone』（邦訳『世界標準MIT教科書 ストラング：教養の線形代数』）
 \footnote{``Linear Algebra for Everyone":
 \url{http://math.mit.edu/everyone/}邦訳『世界標準MIT教科書 ストラング：教養の線形代数』（近代科学社）2023年}
 の中で紹介されている重要なコンセプトについて，直感的で視覚的な表現を試みた．
 ベクトルと行列の計算とアルゴリズムを，行列の積分解の視点から理解する新しい教育教材となることを目的としている．
-ここで紹介される行列分解には，列・行分解（$\bm{CR}$）ガウスの消去法（$\bm{LU}$），
+ここで紹介する列・行分解には，（$\bm{CR}$）ガウスの消去法（$\bm{LU}$），
 グラム・シュミットの直交化（$\bm{QR}$），対称行列の固有値と対角化（$\bm{Q \Lambda Q\transp}$），
 特異値分解（$\bm{U \Sigma V\transp}$）の5分解が含まれる．
+なお，本記事を含む図版は以下の GitHub レポジトリから取得できる．\url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/}.
 \end{abstract}
 
 \section*{Preface}
@@ -670,24 +671,27 @@ Ashley Fernandes から本記事のフォーマットを美しくするプロフ
   Gilbert Strang(2016), \emph{Introduction to Linear Algebra},Wellesley Cambridge Press, 6th ed.,\\
   『世界標準MIT教科書 ストラング:線形代数イントロダクション』（近代科学社）,\\
   \href{http://math.mit.edu/linearalgebra}{http://math.mit.edu/linearalgebra}
-  \item Kenji Hiranabe(2021), \emph{Map of Eigenvalues}, An Agile Way(blog),\\
-  \href{https://anagileway.com/2021/10/01/map-of-eigenvalues/}{https://anagileway.com/2021/10/01/map-of-eigenvalues/}\\
+  \item Kenji Hiranabe(2021), \emph{Map of Eigenvalues}, Slidedeck,\\
+  \url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/blob/main/MapofEigenvalues.pdf}\\
   \begin{figure}[H]
     \includegraphics[keepaspectratio, width=\linewidth]{MapofEigenvalues-j.eps}
     \caption{固有値の地図}
   \end{figure}
-  \item Kenji Hiranabe(2020), \emph{Matrix World}, An Agile Way(blog),\\
-  \href{https://anagileway.com/2020/09/29/matrix-world-in-linear-algebra-for-everyone/}{https://anagileway.com/2020/09/29/matrix-world-in-linear-algebra-for-everyone/}\\
+  
+  \item Kenji Hiranabe(2020), \emph{Matrix World}, Slidedeck,\\
+  \url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/blob/main/MatrixWorld.pdf}\\
   \begin{figure}[H]
+    \centering
     \includegraphics[keepaspectratio, width=\linewidth]{MatrixWorld-j.eps}
     \caption{Matrix World}
   \end{figure}
-  \item Kenji Hiranabe, \emph{ストラング先生から学んだ線形代数}, Qiita(blog),\\
-  \href{https://qiita.com/kenjihiranabe/items/bfa9cd68bb355afc56b7}{https://qiita.com/kenjihiranabe/items/bfa9cd68bb355afc56b7}\\
-  \item Gilbert Strang and Kenji Hiranabe, \emph{$A\bm{x}=\bm{b}$ の解},\\
+  \item Gilbert Strang, artwork by Kenji Hiranabe, \emph{The Four Subspaces and the solutions to $A\bm{x}=\bm{b}$}\\
   \begin{figure}[H]
-    \includegraphics[keepaspectratio, width=\linewidth]{TheFourSubspaces-j.eps}
+    \centering
+    \includegraphics[keepaspectratio]{TheFourSubspaces.eps}
     \caption{4つの部分空間と$A\bm{x}=\bm{b}$ の解}
   \end{figure}
+  \item Kenji Hiranabe, \emph{ストラング先生から学んだ線形代数}, Qiita(blog),\\
+  \href{https://qiita.com/kenjihiranabe/items/bfa9cd68bb355afc56b7}{https://qiita.com/kenjihiranabe/items/bfa9cd68bb355afc56b7}\\
  \end{enumerate}
 \end{document}

The-Art-of-Linear-Algebra.tex

@@ -48,7 +48,7 @@ This is aimed at promoting understanding of vector/matrix calculations
 and algorithms from the\linebreak perspectives of matrix factorizations.
 They include Column-Row ($\bm{CR}$), Gaussian Elimination ($\bm{LU}$),
 Gram-Schmidt Orthogonalization ($\bm{QR}$), Eigenvalues and Diagonalization ($\bm{Q \Lambda Q\transp}$),
-and Singular Value Decomposition ($\bm{U \Sigma V\transp}$).
+and Singular Value Decomposition ($\bm{U \Sigma V\transp}$). All the artworks including this article are maintained in the GitHub repository \url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/}.
 \end{abstract}
 
 \section*{Foreword}
@@ -688,23 +688,24 @@ traditional data science and machine learning. An important part of the matrix w
   \item
   Gilbert Strang(2016), \emph{Introduction to Linear Algebra},Wellesley Cambridge Press, 5th ed.,\\
   \href{http://math.mit.edu/linearalgebra}{http://math.mit.edu/linearalgebra}
-  \item Kenji Hiranabe(2021), \emph{Map of Eigenvalues}, An Agile Way(blog),\\
-  \href{https://anagileway.com/2021/10/01/map-of-eigenvalues/}{https://anagileway.com/2021/10/01/map-of-eigenvalues/}\\
+  \item Kenji Hiranabe(2021), \emph{Map of Eigenvalues}, Slidedeck,\\
+  \url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/blob/main/MapofEigenvalues.pdf}\\
   \begin{figure}[H]
     \centering
     \includegraphics[keepaspectratio, width=\linewidth]{MapofEigenvalues.eps}
     \caption{Map of Eigenvalues}
   \end{figure}
-  \item Kenji Hiranabe(2020), \emph{Matrix World}, An Agile Way(blog),\\
-  \href{https://anagileway.com/2020/09/29/matrix-world-in-linear-algebra-for-everyone/}{https://anagileway.com/2020/09/29/matrix-world-in-linear-algebra-for-everyone/}
+  \item Kenji Hiranabe(2020), \emph{Matrix World}, Slidedeck,\\
+  \url{https://github.com/kenjihiranabe/The-Art-of-Linear-Algebra/blob/main/MatrixWorld.pdf}\\
   \begin{figure}[H]
     \centering
     \includegraphics[keepaspectratio, width=\linewidth]{MatrixWorld.eps}
     \caption{Matrix World}
   \end{figure}
-  \item Gilbert Strang and Kenji Hiranabe, \emph{Solutions to $A\bm{x}=\bm{b}$},\\
+  \item Gilbert Strang, artwork by Kenji Hiranabe, \emph{The Four Subspaces and the solutions to $A\bm{x}=\bm{b}$}\\
   \begin{figure}[H]
-    \includegraphics[keepaspectratio, width=\linewidth]{TheFourSubspaces.eps}
+    \centering
+    \includegraphics[keepaspectratio]{TheFourSubspaces.eps}
     \caption{The Four Subspaces and the solutions to $A\bm{x}=\bm{b}$}
   \end{figure}
 

figs/epsinclude.tex

@@ -1,3 +1,6 @@
+\includegraphics{illust-p1.eps}\\illust-p1.eps\\
+
+
 \includegraphics{illust-p10.eps}\\illust-p10.eps\\
 
 
@@ -112,6 +115,18 @@
 \includegraphics{illust-p44.eps}\\illust-p44.eps\\
 
 
+\includegraphics{illust-p45.eps}\\illust-p45.eps\\
+
+
+\includegraphics{illust-p46.eps}\\illust-p46.eps\\
+
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+\includegraphics{illust-p47.eps}\\illust-p47.eps\\
+
+
+\includegraphics{illust-p48.eps}\\illust-p48.eps\\
+
+
 \includegraphics{illust-p5.eps}\\illust-p5.eps\\