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
$$$\left[\begin{array}{ccc}{\color{DarkBlue}1} & {\color{Peru}0} & {\color{BlueViolet}0}\\{\color{Chartreuse}0} & {\color{Red}0} & {\color{OrangeRed}4}\\{\color{Blue}0} & {\color{DeepPink}1} & {\color{Brown}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{DarkBlue}2} & {\color{Peru}1} & {\color{BlueViolet}4}\\{\color{Chartreuse}5} & {\color{Red}7} & {\color{OrangeRed}1}\\{\color{Blue}1} & {\color{DeepPink}2} & {\color{Brown}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{DarkBlue}\left(1\right)} + {\color{DarkBlue}\left(2\right)} & {\color{Peru}\left(0\right)} + {\color{Peru}\left(1\right)} & {\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(4\right)}\\{\color{Chartreuse}\left(0\right)} + {\color{Chartreuse}\left(5\right)} & {\color{Red}\left(0\right)} + {\color{Red}\left(7\right)} & {\color{OrangeRed}\left(4\right)} + {\color{OrangeRed}\left(1\right)}\\{\color{Blue}\left(0\right)} + {\color{Blue}\left(1\right)} & {\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(2\right)} & {\color{Brown}\left(0\right)} + {\color{Brown}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
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