Invertible Matrices
Chapter Name : Matrices |
Sub Topic Code : 104_12_03_08_01 |
Topic Name : Invertible Matrices |
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Sub Topic Name : Invertible Matrices |
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Introduction
The inverse of a matrix is a matrix when multiplied with results in an identity matrix
Pre-Requisites:
Square matrices, multiplication of matrices
Activity:
The inverse of a matrix when multiplied with expected results matrix can give us solutions for unknown variables.
Real Life Question:
Can equations of real life situations be placed in a matrix form and its inverse is found?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Identity matrix | A matrix whose diagonal elements are one. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Set of linear equations | Linear equations can be put in matrix form and then solved. |
Real life uses :
Matrix inversion plays a significant role in computer graphics, particularly in 3D graphics rendering and 3D simulations. Examples include screen-to-world ray casting, world-to-subspace-to-world object transformations, and physical simulations.
Practical examples around us
| Examples | Explainations |
|---|---|
| Cryptography | Letters can be coded in number form and its message can be decoded using inverse. |
What you learn in Theory:
Inverse of matrices.
What you learn in Practice:
How a set of linear equation can be deduced using inverse of a matrix.