Properties Of Determinants
Chapter Name : Determinants |
Sub Topic Code : 104_12_04_03_01 |
Topic Name : Properties Of Determinants |
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Sub Topic Name : Properties Of Determinants |
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Introduction
Properties of determinants are rules that are used to help finding the value of a determinant easier (usually by transforming a row or column to 0).
Pre-Requisites:
Basics of determinants
Activity:
The value of a determinant can be computed row wise or column wise.
Real Life Question:
Can determinants be used to find areas of surfaces?
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 |
|---|---|
| Square data matrix | The determinant value can be found. |
Real life uses :
Determinants are used in mathematical physics to find volumes.
Practical examples around us
| Examples | Explainations |
|---|---|
| Data matrices | If 2 matrices contain data of prices and income that relate to the same level of demand, they can be combined using properties of determinants. |
What you learn in Theory:
Properties of determinants.
What you learn in Practice:
Proofs of properties of determinants.