Matriisilaskin
Ratkaise matriiseja askel askeleelta
Tämä laskin laskee kahden matriisin yhteen-, vähennys-, kerto- ja jakolaskun sekä korottaa matriisin potenssiin; välivaiheet näytetään. Lisäksi se laskee determinantin, käänteismatriisin, rref (redusoitu rivin porrasmuoto), nollatilan, rangin, ominaisarvot ja ominaisvektorit sekä kertoo matriisin skalaarilla.
Syötteesi
Laske $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right].$$$
Ratkaisu
$$$\left[\begin{array}{ccc}{\color{Fuchsia}1} & {\color{SaddleBrown}0} & {\color{DarkBlue}0}\\{\color{Magenta}0} & {\color{OrangeRed}0} & {\color{Purple}4}\\{\color{Green}0} & {\color{Violet}1} & {\color{Peru}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{Fuchsia}2} & {\color{SaddleBrown}1} & {\color{DarkBlue}4}\\{\color{Magenta}5} & {\color{OrangeRed}7} & {\color{Purple}1}\\{\color{Green}1} & {\color{Violet}2} & {\color{Peru}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{Fuchsia}\left(1\right)} + {\color{Fuchsia}\left(2\right)} & {\color{SaddleBrown}\left(0\right)} + {\color{SaddleBrown}\left(1\right)} & {\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(4\right)}\\{\color{Magenta}\left(0\right)} + {\color{Magenta}\left(5\right)} & {\color{OrangeRed}\left(0\right)} + {\color{OrangeRed}\left(7\right)} & {\color{Purple}\left(4\right)} + {\color{Purple}\left(1\right)}\\{\color{Green}\left(0\right)} + {\color{Green}\left(1\right)} & {\color{Violet}\left(1\right)} + {\color{Violet}\left(2\right)} & {\color{Peru}\left(0\right)} + {\color{Peru}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
Vastaus
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A