Kalkulator Matriks
Selesaikan matriks langkah demi langkah
Kalkulator ini akan menjumlahkan, mengurangkan, mengalikan, membagi, dan mempangkatkan dua matriks, dengan menampilkan langkah-langkahnya. Kalkulator ini juga akan mencari determinan, invers, rref (bentuk eselon baris tereduksi), ruang nol, rank, nilai eigen, dan vektor eigen, serta mengalikan matriks dengan suatu skalar.
Masukan Anda
Hitung $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right].$$$
Solusi
$$$\left[\begin{array}{ccc}{\color{DarkCyan}1} & {\color{OrangeRed}0} & {\color{Chocolate}0}\\{\color{DarkBlue}0} & {\color{SaddleBrown}0} & {\color{Purple}4}\\{\color{Fuchsia}0} & {\color{DeepPink}1} & {\color{Red}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{DarkCyan}2} & {\color{OrangeRed}1} & {\color{Chocolate}4}\\{\color{DarkBlue}5} & {\color{SaddleBrown}7} & {\color{Purple}1}\\{\color{Fuchsia}1} & {\color{DeepPink}2} & {\color{Red}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{DarkCyan}\left(1\right)} + {\color{DarkCyan}\left(2\right)} & {\color{OrangeRed}\left(0\right)} + {\color{OrangeRed}\left(1\right)} & {\color{Chocolate}\left(0\right)} + {\color{Chocolate}\left(4\right)}\\{\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(5\right)} & {\color{SaddleBrown}\left(0\right)} + {\color{SaddleBrown}\left(7\right)} & {\color{Purple}\left(4\right)} + {\color{Purple}\left(1\right)}\\{\color{Fuchsia}\left(0\right)} + {\color{Fuchsia}\left(1\right)} & {\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(2\right)} & {\color{Red}\left(0\right)} + {\color{Red}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
Jawaban
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A