Practice question · Put in order
Order the steps of solving by Gaussian elimination.
- Use row operations to zero out below the diagonal
- Write the augmented matrix
- Back-substitute upward to recover the rest
- Reach triangular form
- Solve the last equation, one unknown
Hints
- The coefficients and constants must be combined before sweeping.
- Back-substitution only works once the triangle exists.
Show the answer
- Write the augmented matrix
- Use row operations to zero out below the diagonal
- Reach triangular form
- Solve the last equation, one unknown
- Back-substitute upward to recover the rest
Why
Augment → sweep → triangle → bottom equation → climb back up. Elimination turns a tangle of equations into a staircase you descend once and ascend once.
Practise Systems of Linear Equations
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