Matriisikertolaskin
Kerro matriisit vaiheittain
Laskin laskee kahden matriisin tulon (jos mahdollista) ja näyttää laskuvaiheet. Se kertoo matriiseja, joiden koko on enintään 10x10 (2x2, 3x3, 4x4 jne.).
Aiheeseen liittyvä laskin: Matriisilaskin
Syötteesi
Laske $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right].$$$
Ratkaisu
$$$\left[\begin{array}{ccc}{\color{Red}4} & {\color{BlueViolet}5} & {\color{Violet}7}\\{\color{DarkMagenta}2} & {\color{DarkBlue}1} & {\color{OrangeRed}0}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{Red}2} & {\color{Magenta}3}\\{\color{DarkCyan}8} & {\color{DeepPink}9}\\{\color{Purple}1} & {\color{DarkBlue}1}\end{array}\right] = \left[\begin{array}{cc}{\color{Red}\left(4\right)}\cdot {\color{Red}\left(2\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{DarkCyan}\left(8\right)} + {\color{Violet}\left(7\right)}\cdot {\color{Purple}\left(1\right)} & {\color{Red}\left(4\right)}\cdot {\color{Magenta}\left(3\right)} + {\color{BlueViolet}\left(5\right)}\cdot {\color{DeepPink}\left(9\right)} + {\color{Violet}\left(7\right)}\cdot {\color{DarkBlue}\left(1\right)}\\{\color{DarkMagenta}\left(2\right)}\cdot {\color{Red}\left(2\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{DarkCyan}\left(8\right)} + {\color{OrangeRed}\left(0\right)}\cdot {\color{Purple}\left(1\right)} & {\color{DarkMagenta}\left(2\right)}\cdot {\color{Magenta}\left(3\right)} + {\color{DarkBlue}\left(1\right)}\cdot {\color{DeepPink}\left(9\right)} + {\color{OrangeRed}\left(0\right)}\cdot {\color{DarkBlue}\left(1\right)}\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$
Vastaus
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\end{array}\right]\cdot \left[\begin{array}{cc}2 & 3\\8 & 9\\1 & 1\end{array}\right] = \left[\begin{array}{cc}55 & 64\\12 & 15\end{array}\right]$$$A