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Calculadora matricial
Resolva matrizes passo a passo
Esta calculadora irá adicionar, subtrair, multiplicar, dividir e elevar à potência duas matrizes, com os passos mostrados. Ele também encontrará o determinante, inverso, rref (forma escalonada reduzida), espaço nulo, classificação, autovalores e 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
$$$\left[\begin{array}{ccc}{\color{GoldenRod}1} & {\color{DarkBlue}0} & {\color{BlueViolet}0}\\{\color{DarkCyan}0} & {\color{Blue}0} & {\color{SaddleBrown}4}\\{\color{Green}0} & {\color{Peru}1} & {\color{OrangeRed}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{GoldenRod}2} & {\color{DarkBlue}1} & {\color{BlueViolet}4}\\{\color{DarkCyan}5} & {\color{Blue}7} & {\color{SaddleBrown}1}\\{\color{Green}1} & {\color{Peru}2} & {\color{OrangeRed}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{GoldenRod}\left(1\right)} + {\color{GoldenRod}\left(2\right)} & {\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(1\right)} & {\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(4\right)}\\{\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(5\right)} & {\color{Blue}\left(0\right)} + {\color{Blue}\left(7\right)} & {\color{SaddleBrown}\left(4\right)} + {\color{SaddleBrown}\left(1\right)}\\{\color{Green}\left(0\right)} + {\color{Green}\left(1\right)} & {\color{Peru}\left(1\right)} + {\color{Peru}\left(2\right)} & {\color{OrangeRed}\left(0\right)} + {\color{OrangeRed}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
Responder
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A