Lesson Notes By Weeks and Term v4 - SHS 1
APPLICATIONS OF ALGEBRA
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APPLICATIONS OF ALGEBRA
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Subject: Additional Mathematics
Class: SHS 1
Term: 1st Term
Week: 19
Grade code: 1.1.2.LI.2
Strand code: 1
Sub-strand code: 2
Content standard code: 1.1.2.CS.2
Indicator code: 1.1.2.LI.2
Theme: MODELLING WITH ALGEBRA
Subtheme: APPLICATIONS OF ALGEBRA
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In today's lesson, we will explore a powerful mathematical tool called a matrix. A matrix is simply a rectangular grid of numbers, arranged in rows and columns, that helps us organize and work with data efficiently. Think of a class attendance sheet, a shop's price list, or even the points table for the Ghana Premier League – these are all real-world examples of data that can be represented by matrices. By learning how to perform basic operations like addition, subtraction, and multiplication on matrices, we gain the ability to solve complex problems in fields like computer graphics, business, and science in a very structured way.
Concept 1: What is a Matrix?
A matrix is a rectangular arrangement of numbers, called elements, enclosed in brackets. The arrangement has horizontal rows and vertical columns. Notation: We use a capital letter to name a matrix (e.g., A, B, C). Example: ``` [ 4 7 ] <-- Row 1 A = [ ] [ 2 -1 ] <-- Row 2 ^ ^ | | Col 1 Col 2 ``` Order of a Matrix: The order describes the size of the matrix. It is given as (number of rows) x (number of columns). The matrix A above has 2 rows and 2 columns, so its order is 2x2 (read as "two by two").
In this lesson, we will focus exclusively on 2x2 matrices. Concept 2: Matrix Addition and Subtraction
Condition: You can only add or subtract matrices if they have the exact same order. For our lesson, this means we can only add a 2x2 matrix to another 2x2 matrix.