Exemple Matrice
(1)
\begin{align} \begin{Bmatrix} 2x_1+3x_2=5\\ 10x_1-7x_2=3\\ \end{matrix}\\ \end{align}

Sistemul se scrie sub forma matriciala:

(2)
\begin{pmatrix} 2&3\\ 10&-7\\ \end{pmatrix} X= \begin{pmatrix}\\ 5\\ 3\\ \end{pmatrix}

Exemple:

(3)
\begin{align} \begin{Bmatrix} 2x+5y-4z=2\\ 8x-13y+6z=8\\ \end{matrix}\\ \end{align}
(4)
\begin{align} \begin{Bmatrix} x+2y=1\\ x+y=2\\ \end{matrix}\\ \end{align}

Exemple rezolvate:

(5)
\begin{align} \begin{Bmatrix}\ 2x_1+3x_2=5\\ 10x_1-7x_2=3\\ \end{matrix}\ \end{align}
(6)
\begin{align} \begin{pmatrix}\ 2&3\\ 10&-7\\ \end{pmatrix}X=\begin{pmatrix}\ 5\\ 3\\ \end{pmatrix} \begin{vmatrix}\ 2&3\\ 10&-7\\ \end{vmatrix}=-44\ \end{align}

adica este diferit de 0,solutia sa se obtine din:

(7)
\begin{pmatrix} \ 2&3\\ 10&-7\\ \end{pmatrix}^{-1} \begin{pmatrix}\ 5\\ 3\\ \end{pmatrix}
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