# What is Gaussian elimination?

##### 1 Answer

#### Answer:

See below

#### Explanation:

Given: Gaussian elimination

Gaussian elimination, also known as row-reduction, is a technique used to solve systems of linear equations. The coefficients of the equations, including the constant are put in a matrix form.

Three types of operations are performed to create a matrix that has a diagonal of

The three operations are:

- swap two rows
- Multiply a row by a nonzero constant (scalar)
- Multiply a row by a nonzero number and add to another row

Simple example. Solve for

Becomes:

Multiply row 1 by

Replace row 2 with: Multiply row 1 by

Divide row 2 by

Use back substitution to solve for

Solution: