General solution of matrix

The General Solution of a System of Linear Equations

A set of values of x, y, z which simultaneously satisfy all the equations is called a solution to the system of equations. Consider, x + y + z = 9. 2x – y + z = 5. 4x + y – z = 7. Here, the set of

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LS.6 Solution Matrices

The general solution for first matrix is $\begin{cases} x_1=x_3\\x_2=-x_3\\x_3\ \text{is free}\end{cases}$ in which case, the null space is spanned only by one free vector, i.e.

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General solution of matrix

System of First Order Differential Equations

LS.6 Solution Matrices