Row Reduction Matrix

_____________ is an algorithm to solve a system of linear equations by representing it as an augmented matrix, reducing it using row operations, and expressing the system in reduced row-echelon form to find the values of the variables.

• Gauss-Jordan Reduction Theory

• Gauss-Jordan Reduction Principle

• Gauss-Jordan Law

• Gauss-Jordan Reduction Method

When solving an augmented matrix using row reduction operations, which of the following operations are allowed?

• switching any two rows

• multiplying a row by a non-zero constant

• replacing a row with a combination of operations to two rows

• ALL of these are acceptable

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!

• This is not a valid row operation!