Operation On Matrices
Chapter Name : Matrices |
Sub Topic Code : 104_12_03_04_04 |
Topic Name : Operation On Matrices |
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Sub Topic Name : Properties Of Scalar Multiplication Of A Matrix |
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Introduction
If A and B are two matrices of the same order (m x n), and k and l are scalars, then k(A+B) = kA + kB (k+l)A = kA + lA
Pre-Requisites:
Addition of matrices, Multiplication of matrix by a scalar, Order of Matrix
Activity:
Properties can be used to find amounts of salaries to be distributed amongst sets of employees.
Real Life Question:
Do the properties of scalar multiplication in matrices make it easier to calculate the total of a set of matrices?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Order of matrix | The number of rows and columns in the matrix ; m (rows) x n (columns). |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Data records | Observe how the properties of scalar multiplication in matrices are used. |
Real life uses :
In calculating amounts such as salaries.
Practical examples around us
| Examples | Explainations |
|---|---|
| Use in totaling | Handy to find amounts with more than one scalar or matrix arrangement. |
What you learn in Theory:
The properties of scalar multiplication of a matrix.
What you learn in Practice:
To use the properties to calculate amounts for records and book keeping.