Minors And Cofactors
Chapter Name : Determinants |
Sub Topic Code : 104_12_04_05_01 |
Topic Name : Minors And Cofactors |
|
Sub Topic Name : Minors And Cofactors |
|
Introduction
The minor of an element is the determinant value of the remaining elements after excluding the row and column of the element. The cofactor of an element can be found by the formula : Aij = (-1)i+jMij
Pre-Requisites:
Basics of determinants
Activity:
Elements of a row (or column) when multiplied with cofactors of any other row (or column) result in the value 0
Real Life Question:
If a determinant can be used to calculate area and volume, are minors and cofactors used in geometry?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Determinant | Determinant is a value associated with a square matrix. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Set of determinants | The minors and cofactors can be obtained. |
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 of which a part is cofactors. |
What you learn in Theory:
Concepts of minors and cofactors.
What you learn in Practice:
How to find the minor and cofactors of elements in a determinant.