Adjoint And Inverse Of A Matrix
Chapter Name : Determinants |
Sub Topic Code : 104_12_04_06_01 |
Topic Name : Adjoint And Inverse Of A Matrix |
|
Sub Topic Name : Adjoint Of A Matrix |
|
Introduction
The adjoint of a matrix is defined as the transpose of its cofactors.
Pre-Requisites:
Transpose of a matrix, cofactors
Activity:
The adjoint can be found only with cofactor values which can be found from minor values.
Real Life Question:
Is adjoint of a matrix useful to solve for unknown values simulating real life situations?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Cofactor of an element | Aij = (-1)i+jMij |
| Transpose | Interchanging rows and columns. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Matrix | Adjoint of a matrix can be found. |
Real life uses :
To find the inverse of a given situation.
Practical examples around us
| Examples | Explainations |
|---|---|
| Inverse of a matrix | The inverse of a matrix can be found using its determinant value and its adjoint. |
What you learn in Theory:
Concepts of adjoint of a matrix.
What you learn in Practice:
How to find the adjoint of a matrix from its cofactors.