Calculadora de Matrizes
Resolver matrizes passo a passo
Esta calculadora somará, subtrairá, multiplicará, dividirá e elevará à potência duas matrizes, com etapas mostradas. Também encontrará o determinante, a inversa, a rref (forma escalonada reduzida por linhas), o espaço nulo, o posto, os autovalores e os autovetores e multiplicará a matriz por um escalar.
Sua entrada
Calcule $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right].$$$
Solução
$$$\left[\begin{array}{ccc}{\color{DarkCyan}1} & {\color{SaddleBrown}0} & {\color{Brown}0}\\{\color{BlueViolet}0} & {\color{OrangeRed}0} & {\color{Green}4}\\{\color{Fuchsia}0} & {\color{Red}1} & {\color{GoldenRod}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{DarkCyan}2} & {\color{SaddleBrown}1} & {\color{Brown}4}\\{\color{BlueViolet}5} & {\color{OrangeRed}7} & {\color{Green}1}\\{\color{Fuchsia}1} & {\color{Red}2} & {\color{GoldenRod}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{DarkCyan}\left(1\right)} + {\color{DarkCyan}\left(2\right)} & {\color{SaddleBrown}\left(0\right)} + {\color{SaddleBrown}\left(1\right)} & {\color{Brown}\left(0\right)} + {\color{Brown}\left(4\right)}\\{\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(5\right)} & {\color{OrangeRed}\left(0\right)} + {\color{OrangeRed}\left(7\right)} & {\color{Green}\left(4\right)} + {\color{Green}\left(1\right)}\\{\color{Fuchsia}\left(0\right)} + {\color{Fuchsia}\left(1\right)} & {\color{Red}\left(1\right)} + {\color{Red}\left(2\right)} & {\color{GoldenRod}\left(0\right)} + {\color{GoldenRod}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
Resposta
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A