deletions | additions       diff --git a/Matrizenrechnung_cal_A_begin_pmatrix__.tex b/Matrizenrechnung_cal_A_begin_pmatrix__.tex  deleted file mode 100644  index c3a5d68..0000000  --- a/Matrizenrechnung_cal_A_begin_pmatrix__.tex  +++ /dev/null 
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#Matrizenrechnung  \({\cal A}=\begin{pmatrix}  a_{1,1} & a_{1,2}&a_{1,3}&\cdots & a_{1,n}\\  a_{2,1} & a_{2,2}&a_{2,3}&\cdots & a_{2,n}\\  a_{3,1} & a_{3,2}&a_{3,3}&\cdots & a_{3,n}\\  \vdots & \vdots &\vdots &\ddots & \vdots \\  a_{m,1} & a_{m,2} & a_{m,3} & \cdots & a_{m,n}  \end{pmatrix}~~~n\times m\text{-Matrix}\)   \({\cal B}=\begin{pmatrix}  b_{1,1} & b_{1,2} & b_{1,3} & \cdots & b_{1,m}\\  b_{2,1} & b_{2,2}&b_{2,3} & \cdots & b_{2,m}\\  b_{3,1} & b_{3,2}&b_{3,3}& \cdots & ba_{3,m}\\  \vdots & \vdots & \vdots & \ddots & \vdots \\  b_{n,1} & b_{n,2} & b_{n,3} & \cdots & b_{n,m}  \end{pmatrix}~~~m\times n\text{-Matrix}\)  ##Rechnen mit Matrizen  ##Inverse Matrix  ##Funktionen der Koeffizientenmatrix  **Treppenform der Koeffizientenmatrix** (*Row Echelon Form*)   \(\text{ref}\left({\cal{A}}\right)=\begin{pmatrix}  1 & a'_{1,2} & a'_{1,3} & \dots & a'_{1,n} & b'_1\\  0 & 1 & a'_{2,3} & \dots & a'_{2,n} & b'_2\\  0 & 0 & 1 & \dots & a'_{3,n} & b'_3\\  \vdots & \vdots & \vdots & \ddots & \vdots & \vdots \\  0 & 0 & 0 & \dots & 1 & b'_n  \end{pmatrix}\)   **Treppennormalform der Koeffizientenmatrix** (*Reduced Row Echelon Form*)   \(\text{rref}\left({\cal{A}}\right)=\begin{pmatrix}  1 & 0 & 0 & \cdots & 0 & b''_1\\  0 & 1 & 0 & \cdots & 0 & b''_2\\  0 & 0 & 1 & \cdots & 0 & b''_3\\  \vdots & \vdots & \vdots & \ddots & \vdots & \vdots \\  0 & 0 & 0 & \cdots & 1 & b''_n  \end{pmatrix}\)  diff --git a/layout.md b/layout.md  index 8dc55ab..75bddb3 100644  --- a/layout.md  +++ b/layout.md 
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Versuch_einer_Formelsammlung_c_sqrt__.md  Matrizenrechnung_cal_A_begin_pmatrix__.md  Statistische_Tests_Chi_Quadrat_Test__.md  Matrizenrechnung_cal_A_begin_pmatrix__.tex