We start a new topic today. We study matrices.<\/p>\n
In real life, we often use tables to help organize data. If we abstract the concept by extracting the data from a table and arrange them in a rows and columns with brackets, we call this rectangular array of numbers a matrix. The numbers in a matrix are called entries or elements. An element is identified by its row and column positions in the matrix. If a matrix has m rows and n columns, we say that the order of this matrix is m x n. A matrix having the same number of rows and columns is called a square matrix. For a square matrix, we can simply say its order with the number of rows.<\/p>\n
We usually use capital letters to represent matrices.<\/p>\n
Two matrices A and B are equal, written as A = B, if they have the same order and their corresponding elements are equal.<\/p>\n
We then discuss the addition and subtraction of two same-order matrices.<\/p>\n
If A and B are two matrices of the same order, then sum A+B is the matrix obtained by adding the corresponding elements in A and B.<\/p>\n
Similarly, we define subtraction of two same-order matrices.<\/p>\n
We talk about zero matrix where all elements are zero. It is often represented \u00a0as O.<\/p>\n
Homework:<\/p>\n
Page 1<\/a>, Page 2<\/a>, Page 3<\/a>, Page 4<\/a>, Page 5<\/a>, Page 6<\/a>, Page 7<\/a>, Page 8<\/a> (please keep these pages, we will need them for the next two lessons)<\/p>\n Workbook Page 19, #1 \u2013 #6, #12, #14, #16<\/p>\n