Matrix Multiplication
Description
The Sage commands for calculating the sum of two matrices, $AB$, where
(1)\begin{align} A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \quad \text{and} \quad B = \begin{pmatrix} -4 & 3 \\ -2 & 6 \end{pmatrix}. \end{align}
Sage Cell
Code
A = matrix([[1,2],[3,4]])
B = matrix([[-4,3],[-2,6]])
A*B
Options
Matrix-Vector Product
We can also take the product of a matrix and a vector:
Code
A = matrix(QQ, [[1, 2], [3, 4]])
v = vector(QQ, [-1, 2])
A*v
Matrix Exponentiation
We can also take an exponent of a matrix in the same way we would take the exponent of a real number.
Code
A = matrix([[1,2],[3,4]])
A^3
Tags
CC:math.la.i.mat.mult
Primary Tags: Linear Algebra: Matrices.
Secondary Tags: Matrices: Matrix algebra.
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Author: T. Judson
Date: 19 Jul 2017 09:24
Submitted by: Tom Judson