We start a new topic today. We study matrices.<\/p>\n\n\n\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\n\n\n
We usually use capital letters to represent matrices.<\/p>\n\n\n\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\n\n\n
We then discuss the addition and subtraction of two same-order matrices.<\/p>\n\n\n\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\n\n\n
Similarly, we define subtraction of two same-order matrices.<\/p>\n\n\n\n
We talk about zero matrix where all elements are zero. It is often represented as O.<\/p>\n\n\n\n
Homework:<\/p>\n\n\n\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\n\n\n Workbook Page 19, #1 \u2013 #6, #12, #14, #16<\/p>\n","protected":false},"excerpt":{"rendered":" We start a new topic today. We study matrices. 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 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[30,4,20,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1753"}],"collection":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/comments?post=1753"}],"version-history":[{"count":1,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1753\/revisions"}],"predecessor-version":[{"id":1754,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1753\/revisions\/1754"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1753"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}