Matriisien vähennyslaskin
Vähennä matriiseja vaiheittain
Laskin löytää kahden matriisin erotuksen (jos mahdollista) ja näyttää vaiheet. Se vähentää matriiseja, joiden koko on enintään 10x10 (2x2, 3x3, 4x4 jne.).
Syötteesi
Laske $$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right].$$$
Ratkaisu
$$$\left[\begin{array}{ccc}{\color{OrangeRed}1} & {\color{Chocolate}2} & {\color{DeepPink}-3}\\{\color{Magenta}2} & {\color{DarkCyan}-3} & {\color{DarkBlue}-5}\\{\color{Violet}1} & {\color{Blue}7} & {\color{Green}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{OrangeRed}2} & {\color{Chocolate}-3} & {\color{DeepPink}0}\\{\color{Magenta}1} & {\color{DarkCyan}1} & {\color{DarkBlue}5}\\{\color{Violet}1} & {\color{Blue}0} & {\color{Green}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{OrangeRed}\left(1\right)} - {\color{OrangeRed}\left(2\right)} & {\color{Chocolate}\left(2\right)} - {\color{Chocolate}\left(-3\right)} & {\color{DeepPink}\left(-3\right)} - {\color{DeepPink}\left(0\right)}\\{\color{Magenta}\left(2\right)} - {\color{Magenta}\left(1\right)} & {\color{DarkCyan}\left(-3\right)} - {\color{DarkCyan}\left(1\right)} & {\color{DarkBlue}\left(-5\right)} - {\color{DarkBlue}\left(5\right)}\\{\color{Violet}\left(1\right)} - {\color{Violet}\left(1\right)} & {\color{Blue}\left(7\right)} - {\color{Blue}\left(0\right)} & {\color{Green}\left(1\right)} - {\color{Green}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$
Vastaus
$$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$A