Chapter 2 Gaussian-Jordan Elimination
To solve a system of linear equations, the brilliant idea is to find an equivalent linear system which is much esaier to solve. It raises two questions.
- How to get an equivalent linear system?
- Which linear system is the easiest to solve?
To answer the first question, we introduce the elementary row operations. To answer the second one, the key word is reduced echelon form(RREF).
There are three objectives today.
- How to input a matrix into SageMath.
- Perform three elementary row operations.
- Find the reduced echelon form for a matrix \(A\text{.}\)
