diff --git a/Linear Algebra Refresher.md b/Linear Algebra Refresher.md index 877078a..f06c94c 100644 --- a/Linear Algebra Refresher.md +++ b/Linear Algebra Refresher.md @@ -51,4 +51,17 @@ print (veka1.plus(veka2)) ```python veka1 = Vector([0,5]) -``` \ No newline at end of file +``` + +$\left[ {\begin{array}{*{20}{c}} +7\\ +2 +\end{array}} \right] + \left[ {\begin{array}{*{20}{c}} +-3\\ +2 +\end{array}} \right] = \left[ {\begin{array}{*{20}{c}} +4\\ +4 +\end{array}} \right]$ + + \ No newline at end of file diff --git a/Vektor_add_1.tex b/Vektor_add_1.tex index 3c67477..2b60f15 100644 --- a/Vektor_add_1.tex +++ b/Vektor_add_1.tex @@ -1,41 +1,41 @@ -\documentclass[10pt]{article} -\usepackage{pgf,tikz,pgfplots} -\pgfplotsset{compat=1.15} -\usepackage{mathrsfs} -\usetikzlibrary{arrows} -\pagestyle{empty} -\begin{document} -\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1} -\definecolor{ududff}{rgb}{0.30196078431372547,0.30196078431372547,1} -\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666} -\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm] -\begin{axis}[ -x=1cm,y=1cm, -axis lines=middle, -ymajorgrids=true, -xmajorgrids=true, -xmin=-0.5, -xmax=6.5, -ymin=-0.25, -ymax=6.6, -xtick={-4,-3,...,6}, -ytick={0,...,6},] -\clip(-4.66270591911281,-2.4761462907710943) rectangle (11.894647164540304,7.830725732214009); -\draw [-latex,line width=1pt, color=red] (0,0) -- (5,2); -\draw [-latex,line width=1pt, color=blue] (0,0) -- (1,4); - -\draw [-latex,line width=1pt, color=red, dashed] (1,4) -- (6,6); -\draw [-latex,line width=1pt, color=blue, dashed] (5,2) -- (6,6); +\documentclass[10pt]{article} +\usepackage{pgf,tikz,pgfplots} +\pgfplotsset{compat=1.15} +\usepackage{mathrsfs} +\usetikzlibrary{arrows} +\pagestyle{empty} +\begin{document} +\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1} +\definecolor{ududff}{rgb}{0.30196078431372547,0.30196078431372547,1} +\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666} +\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm] +\begin{axis}[ +x=1cm,y=1cm, +axis lines=middle, +ymajorgrids=true, +xmajorgrids=true, +xmin=-0.5, +xmax=6.5, +ymin=-0.25, +ymax=6.6, +xtick={-4,-3,...,6}, +ytick={0,...,6},] +\clip(-4.66270591911281,-2.4761462907710943) rectangle (11.894647164540304,7.830725732214009); +\draw [-latex,line width=1pt, color=red] (0,0) -- (5,2); +\draw [-latex,line width=1pt, color=blue] (0,0) -- (1,4); + +\draw [-latex,line width=1pt, color=red, dashed] (1,4) -- (6,6); +\draw [-latex,line width=1pt, color=blue, dashed] (5,2) -- (6,6); \draw [-latex,line width=2pt, color=orange] (0,0) -- (6,6); -\begin{scriptsize} -\draw[color=red] (2.5189255735382816,1.3) node {$\overrightarrow{x}$}; -\draw[color=blue] (0.25,2.142145794294401) node {$\overrightarrow{y}$}; -\draw[color=orange] (2.4,3.158919254505808) node {$\overrightarrow{x+y}$}; -\draw[color=red] (3.524996155221147,5.3) node {$\overrightarrow{x'\;\,}$}; -\draw[color=blue] (5.9,4) node {$\overrightarrow{y'\;\,}$}; -\end{scriptsize} -\end{axis} -\end{tikzpicture} +\begin{scriptsize} +\draw[color=red] (2.5189255735382816,1.3) node {$\overrightarrow{x}$}; +\draw[color=blue] (0.25,2.142145794294401) node {$\overrightarrow{y}$}; +\draw[color=orange] (2.4,3.158919254505808) node {$\overrightarrow{x+y}$}; +\draw[color=red] (3.524996155221147,5.3) node {$\overrightarrow{x'\;\,}$}; +\draw[color=blue] (5.9,4) node {$\overrightarrow{y'\;\,}$}; +\end{scriptsize} +\end{axis} +\end{tikzpicture} \end{document} \ No newline at end of file diff --git a/Vektor_add_2.tex b/Vektor_add_2.tex index a422b85..dbe2e9d 100644 --- a/Vektor_add_2.tex +++ b/Vektor_add_2.tex @@ -5,7 +5,7 @@ \usetikzlibrary{arrows} \pagestyle{empty} \begin{document} -\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666} + \begin{tikzpicture}[x=1cm,y=1cm] \begin{axis}[ x=1cm,y=1cm, @@ -19,19 +19,19 @@ ymax=4.5, xtick={-3,...,7}, ytick={-3,-2,...,6},] \clip(-3.5301370701590713,-3.410207869386736) rectangle (7.701311755516924,6.144461052102637); -\draw [-latex,line width=1pt,color=blue] (0,0) -- (7,2); -\draw [-latex,color=red,line width=1pt] (0,0) -- (-3,2); -\draw [-latex,line width=2pt,color=orange] (0,0) -- (4,4); -\draw [-latex,line width=1pt,color=blue,dashed] (-3,2) -- (4,4); +\draw [-latex,line width=1pt] (0,0) -- (7,2); +\draw [-latex,line width=1pt] (0,0) -- (-3,2); +\draw [-latex,line width=2pt,color=blue] (0,0) -- (4,4); +\draw [-latex,line width=1pt,color=red,dashed] (-3,2) -- (4,4); \draw [-latex,line width=1pt,color=red,dashed] (7,2) -- (4,4); \begin{scriptsize} \draw[color=blue] (3.5242446569218764,1.3) node {$\overrightarrow{y}$}; -\draw[color=black] (-1.4862515064759836,1.0793951285093604) node {$v$}; -\draw[color=black] (2.0062131460310395,2.150946783255832) node {$w$}; -\draw[color=blue] (0.5278687334641462,3.3) node {$\overrightarrow{y'}$}; -\draw[color=black] (5.5085995731190485,3.083593593868502) node {$b$}; +\draw[] (-2.2,1.08) node {$\overrightarrow{x}$}; +\draw[color=blue] (1.4,2.151) node {$\overrightarrow{x+y}$}; +\draw[color=red] (0.5278687334641462,3.3) node {$\overrightarrow{y'}$}; +\draw[color=red] (5.2,2.8) node {$\overrightarrow{x}'$}; \end{scriptsize} \end{axis} \end{tikzpicture} diff --git a/vector_add_2.png b/vector_add_2.png new file mode 100644 index 0000000..685eb16 Binary files /dev/null and b/vector_add_2.png differ