Section 4.2 Systems of Equations with Matrices
As an introduction to solving equations in Sage, we worked with equations symbolically. Now, we will learn how to solve systems of equations with vectors and matrices.
Let’s solve the following system of equations:
\begin{align*}
\amp x + 2y \amp = 4\\
\amp y - z \amp = 0\\
\amp x + 2z \amp = 4
\end{align*}
In Sage, we can create an coefficient matrix using the
matrix function.Next, provide a list of constants to the
vector function.Finally, call the
solve_right method on the matrix and pass the solution vector as its argument.The output
(4, 0, 0) expresses a solution to the system:
\begin{gather*}
x = 4, \; y = 0, \; z = 0
\end{gather*}
