Matrices and Vectors
- This definition of matrix multiplication permits us to write the set of linear equations
- If the equations in any two rows is interchanged, the solution does not change.
- Multiplying the equation in any row by a constant does not change the solution.
- Adding or subtracting the equation in a row to another row does not change the solution.
- Much more simply in matrix notation, as
where
- Example,
- Square matrices are particularly important when a system of equations is to be solved.
Subsections