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Matrix Scalar Multiplication Calculator
Multiply a matrix by a scalar step by step
The calculator will multiply the given matrix by the given scalar, with steps shown. It handles matrices of any size up to 10x10 (2x2, 3x3, 4x4, etc.).
Your Input
Calculate $$$3 \left[\begin{array}{cc}4 & 5\\-2 & 0\\1 & 7\end{array}\right]$$$.
Solution
Multiply each entry of the matrix by the scalar:
$$${\color{DarkCyan}\left(3\right)}\cdot \left[\begin{array}{cc}4 & 5\\-2 & 0\\1 & 7\end{array}\right] = \left[\begin{array}{cc}{\color{DarkCyan}\left(3\right)}\cdot \left(4\right) & {\color{DarkCyan}\left(3\right)}\cdot \left(5\right)\\{\color{DarkCyan}\left(3\right)}\cdot \left(-2\right) & {\color{DarkCyan}\left(3\right)}\cdot \left(0\right)\\{\color{DarkCyan}\left(3\right)}\cdot \left(1\right) & {\color{DarkCyan}\left(3\right)}\cdot \left(7\right)\end{array}\right] = \left[\begin{array}{cc}12 & 15\\-6 & 0\\3 & 21\end{array}\right]$$$
Answer
$$$3 \left[\begin{array}{cc}4 & 5\\-2 & 0\\1 & 7\end{array}\right] = \left[\begin{array}{cc}12 & 15\\-6 & 0\\3 & 21\end{array}\right]$$$A