Invertible Matrices
Chapter Name : Matrices |
Sub Topic Code : 104_12_03_08_02 |
Topic Name : Invertible Matrices |
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Sub Topic Name : Inverse Of A Matrix By Elementary Operations |
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Introduction
Using elementary row or column transformations, the inverse of a matrix can be found. If row transformations are used the order must begin with A=IA. Column transformations start using A=AI.
Pre-Requisites:
Elementary operations, Inverse of a matrix
Activity:
The inverse of a matrix when multiplied with expected results matrix can give us solutions for unknown variables.
Real Life Question:
Can equations of real life situations be placed in a matrix form and its inverse is found?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Identity matrix | A matrix whose diagonal elements are one. |
| Elementary transformations | Changes made to matrices to achieve a desired effect. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Data matrix | Elementary transformations can be used. |
Real life uses :
To solve a set of linear equations.
Practical examples around us
| Examples | Explainations |
|---|---|
| Demand and price | The demand for different goods can be written in form of equations and solved using transformation. |
What you learn in Theory:
Inverse of a matrix using elementary transformation.
What you learn in Practice:
How to find the inverse of a matrix using row or column transformations.