{"id":1758,"date":"2022-12-01T08:23:00","date_gmt":"2022-12-01T13:23:00","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/?p=1758"},"modified":"2022-12-01T20:38:45","modified_gmt":"2022-12-02T01:38:45","slug":"math-9-lesson-10-12-1-2022","status":"publish","type":"post","link":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/2022\/12\/01\/math-9-lesson-10-12-1-2022\/","title":{"rendered":"Math 9, Lesson 10, 12\/1\/2022"},"content":{"rendered":"\n<p>We study multiplication of a matrix by a scalar and multiplication of two matrices.<\/p>\n\n\n\n<p>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\n\n\n<p>Matrices multiplication is defined as follows:<\/p>\n\n\n\n<p>If A is a matrix of order m x n and B a matrix of order n x p, then the product AB is a matrix of order m x p whose element at the i-h row and j-th column is the sum of the products of the corresponding elements in the i-th row of A and j-th column of B.<\/p>\n\n\n\n<p>If the column number of A is not equal to the row number of B, then AB is undefined.<\/p>\n\n\n\n<p>We introduce Identity Matrix of order n, which has 1 on its major diagonal line and 0 anywhere else..<\/p>\n\n\n\n<p>Homework (see Pages from Lesson 9):<\/p>\n\n\n\n<p>Workbook Page 21, #7, #10 \u2013 #12. Please use last lesson\u2019s homework pages for the questions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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. [&hellip;]<\/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\/1758"}],"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=1758"}],"version-history":[{"count":4,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1758\/revisions"}],"predecessor-version":[{"id":1763,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/posts\/1758\/revisions\/1763"}],"wp:attachment":[{"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/media?parent=1758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/categories?post=1758"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blog.newtonchineseschool.org\/wangweidong\/wp-json\/wp\/v2\/tags?post=1758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}