Practice question · Put in order
Order the steps of Gaussian elimination.
- Identify pivots and free variables
- Back-substitute to find the solution
- Use row operations to get upper triangular form
- Write the augmented matrix [A|b]
Hints
- Zeros must be created below the pivots before anything can be read off.
- Back-substitution can only start once the system is triangular.
Show the answer
- Write the augmented matrix [A|b]
- Use row operations to get upper triangular form
- Identify pivots and free variables
- Back-substitute to find the solution
Why
Gaussian elimination reduces the system step by step to an easily solvable form.
Practise Systems of Linear Equations and Gaussian Elimination
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