Types of systems:

2D ::

  • Non-parallel lines
  • Identical lines
  • Parallel lines

3D :

  • Unique solution
  • Infinite number of solutions
  • No solutions

Row operations:

  • (Replacement/ Addition) Add a multiple of one row to another.
  • (Interchange) Interchange two rows.
  • (Scaling) Multiply a row by a non-zero scalar.

Row1 +Row 2

Row2 /2

Row3 - 5 Row1

**Note: represents the original not the modified

Row3 - 10 Row2

Substiution