7'3 Multivariable Systems

1
7.3 Multivariable Systems

• To solve systems of equations involving many
  variables, first convert the system to row
  echelon form.
• This form requires a decreasing number of
  variables per equation and all lead coefficients
  equal to one.
• Row echelon form can be obtained by using the
  elementary row operations. These operations allow
  rows
• to be interchanged, multiplied by a constant, or
  combined with addition or subtraction.
• Original Form
• x - 2y 3z 9
• -x 3y 4
• 2x - 5y 5z 17
• Add the first equation to the second to produce a
  new second equation.
• Subtract two times the first equation from the
  third equation to produce a new third equation.
• Add the second equation to the third equation to
  produce a new third equation.
• Multiply the third equation by 1/2 to produce a
  new third equation.