We study multiplication of a matrix by a scalar and multiplication of two matrices.<\/p>\n\n\n\n
A matrix can be multiplied by a real number (usually called a \nscalar). If k is a scalar, then the scalar multiplication of a matrix A \nby k, denoted by kA, is obtained by multiplying every element of A by k.<\/p>\n\n\n\n
Matrices multiplication is defined as follows:<\/p>\n\n\n\n
If A is a matrix of order m x n and B a matrix of order n x p, then \nthe product AB is a matrix of order m x p whose element at the ith row \nand jth column is the sum of the products of the corresponding elements \nin the ith row of A and jth column of B.<\/p>\n\n\n\n
If the column number of A is not equal to the row number of B, then AB is undefined.<\/p>\n\n\n\n
We introduce Identity Matrix of order n, which has 1 on its major diagonal line and 0 anywhere else..<\/p>\n\n\n\n
Homework:<\/p>\n\n\n\n
Workbook Page 21, #7, #10 \u2013 #12, #18, #19. Please use last lesson\u2019s homework pages for the questions.<\/p>\n\n\n\n
Answers to last week’s homework:<\/p>\n\n\n\n
Answers page1<\/a>, answers page2<\/a><\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" We study multiplication of a matrix by a scalar and multiplication of two matrices. A matrix can be multiplied by a real number (usually called a scalar). If k is a scalar, then the scalar multiplication of a matrix A by k, denoted by kA, is obtained by multiplying every element of A by k. […]<\/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":[28,4,20,3],"tags":[],"_links":{"self":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1635"}],"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=1635"}],"version-history":[{"count":2,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1635\/revisions"}],"predecessor-version":[{"id":1640,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1635\/revisions\/1640"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1635"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}