Matriskalkylator
Lös matriser steg för steg
Denna kalkylator kan addera, subtrahera, multiplicera, dividera och upphöja två matriser till en potens, med visade steg. Den beräknar också determinanten, inversen, rref (reducerad radtrappstegsform), nollrummet, rangen, egenvärdena och egenvektorerna samt multiplicerar matrisen med en skalär.
Din inmatning
Beräkna $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right].$$$
Lösning
$$$\left[\begin{array}{ccc}{\color{DeepPink}1} & {\color{Crimson}0} & {\color{Purple}0}\\{\color{DarkBlue}0} & {\color{DarkCyan}0} & {\color{Green}4}\\{\color{DarkMagenta}0} & {\color{SaddleBrown}1} & {\color{GoldenRod}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{DeepPink}2} & {\color{Crimson}1} & {\color{Purple}4}\\{\color{DarkBlue}5} & {\color{DarkCyan}7} & {\color{Green}1}\\{\color{DarkMagenta}1} & {\color{SaddleBrown}2} & {\color{GoldenRod}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(2\right)} & {\color{Crimson}\left(0\right)} + {\color{Crimson}\left(1\right)} & {\color{Purple}\left(0\right)} + {\color{Purple}\left(4\right)}\\{\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(5\right)} & {\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(7\right)} & {\color{Green}\left(4\right)} + {\color{Green}\left(1\right)}\\{\color{DarkMagenta}\left(0\right)} + {\color{DarkMagenta}\left(1\right)} & {\color{SaddleBrown}\left(1\right)} + {\color{SaddleBrown}\left(2\right)} & {\color{GoldenRod}\left(0\right)} + {\color{GoldenRod}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
Svar
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A