Transpose Of A Matrix
Chapter Name : Matrices |
Sub Topic Code : 104_12_03_05_01 |
Topic Name : Transpose Of A Matrix |
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Sub Topic Name : Properties Of Transpose Of The Matrices |
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Introduction
Interchanging the rows and columns of a matrix generates another matrix of reversed order known as transpose of the matrix. This concept is highly useful in charts preparation.
Pre-Requisites:
Idea about Matrices, Order of matrices, Multiplication of matrices
Activity:
Solve the pair of linear equations 7x+3y=12, 4x+5y=20 for x and y by using matrices.
Real Life Question:
How are the points scored in matches or the distance charts prepared?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Transpose of a Matrix | A matrix AT obtained by interchanging the rows and columns of the matrix A. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Scoring Charts | Points are represented on the square matrices. |
| Distance Charts | Distances between cities are represented by matrices. |
Real life uses :
Solving linear motion problems, linear mathematical equations, image processing, signal processing. Matrices are also used to represent real-world data such as the habits, or traits of a population of people.
Places to visit :
Math Lab.
Practical examples around us
| Examples | Explainations |
|---|---|
| 1. Distance Chart | Matrices are used to represent distances between cities. |
| 2. Scoring Tables | Matrices are used to score points of matches on a table for eg: football rankings. |
What you learn in Theory:
An intro on how to find the transpose of a matrix and properties of transpose of a matrix.
What you learn in Practice:
Matrices are a widely used tool in engineering. Matrices are used to motion problems. Digital images are stored in the form of matrices in computers.