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
$$$\left[\begin{array}{ccc}{\color{OrangeRed}1} & {\color{DarkMagenta}2} & {\color{SaddleBrown}-3}\\{\color{Purple}2} & {\color{BlueViolet}-3} & {\color{Chartreuse}-5}\\{\color{Green}1} & {\color{Fuchsia}7} & {\color{Red}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{OrangeRed}2} & {\color{DarkMagenta}-3} & {\color{SaddleBrown}0}\\{\color{Purple}1} & {\color{BlueViolet}1} & {\color{Chartreuse}5}\\{\color{Green}1} & {\color{Fuchsia}0} & {\color{Red}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{OrangeRed}\left(1\right)} - {\color{OrangeRed}\left(2\right)} & {\color{DarkMagenta}\left(2\right)} - {\color{DarkMagenta}\left(-3\right)} & {\color{SaddleBrown}\left(-3\right)} - {\color{SaddleBrown}\left(0\right)}\\{\color{Purple}\left(2\right)} - {\color{Purple}\left(1\right)} & {\color{BlueViolet}\left(-3\right)} - {\color{BlueViolet}\left(1\right)} & {\color{Chartreuse}\left(-5\right)} - {\color{Chartreuse}\left(5\right)}\\{\color{Green}\left(1\right)} - {\color{Green}\left(1\right)} & {\color{Fuchsia}\left(7\right)} - {\color{Fuchsia}\left(0\right)} & {\color{Red}\left(1\right)} - {\color{Red}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$
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