Application Of Determinants And Matrices
Chapter Name : Determinants |
Sub Topic Code : 104_12_04_07_01 |
Topic Name : Application Of Determinants And Matrices |
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Sub Topic Name : Solution Of System Of Linear Equations Using Inverse Of A Matrix |
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Introduction
Matrix method is a way to solve a set of linear equations having a unique solution.
Pre-Requisites:
Matrices, Determinants, Inverse of a matrix
Activity:
The equations can be represented in the form AX=B, where X is the matrix of unknowns. All the matrices are positioned in a manner which makes multiplication possible between each other.
Real Life Question:
Can linear equations be used to represent real life situation.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Non singular | |A|?1, it has a unique solution. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Set of linear equations | Can be represented in matrix form and solved. |
Real life uses :
Matrix method can be used to find solution to variables in a system of equations.
Practical examples around us
| Examples | Explainations |
|---|---|
| To find out the number of groups of people in situations given estimated travelling costs | The number of people is the unknown matrix and costs of each type of travel are the known matrix with the product being the total cost matrix. |
What you learn in Theory:
How determinants and matrices can be used.
What you learn in Practice:
Examples of solutions to a set of linear equations using matrix method.