Last updated April 10, 2022

Status: Tags: #cards/math232/unit2 Links: System of linear equations

Augmented Matrix

Principles

• Simplifies systems of linear equations
• Know the difference with a coefficient matrix !

~ means ;; the transition from one matrix to another

• be sure to explain what you do

Pivot position ;; the position in a row echelon form that have leading 1’s

Pivot column ;; columns that contain leading 1

Pivoting ?

• pivot is the number you are trying to reduce to 1?
• row operations to eliminate variables in the other equations
• non-zero entry in augmented matrix

Types

• Row Echelon Form
• Reduced Row Echelon Form

Operations

• Multiply row with non-zero scalar
  • ex) multplication of 2 would be 2(row 1)
• Interchange two rows
  • row2 <→ row1
• Add multiple of one equation to another
  • row2 - 2(row1)

Examples

2x-3y=1 x-y = 3 ?

Backlinks

1

list from Augmented Matrix AND !outgoing(Augmented Matrix)

References:

Created:: 2022-01-19 18:26