Definition EO Equation Operations

Given a system of linear equations, the following three operations will transform the system into a different one, and each operation is known as an equation operation.

  1. Swap the locations of two equations in the list of equations.
  2. Multiply each term of an equation by a nonzero quantity.
  3. Multiply each term of one equation by some quantity, and add these terms to a second equation, on both sides of the equality. Leave the first equation the same after this operation, but replace the second equation by the new one.

(in context)