{"id":2016,"date":"2012-06-12T14:18:43","date_gmt":"2012-06-12T14:18:43","guid":{"rendered":"http:\/\/schooltutoring.com\/scholarship\/?p=2016"},"modified":"2014-12-02T08:33:44","modified_gmt":"2014-12-02T08:33:44","slug":"understanding-matrices-in-math","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/06\/12\/understanding-matrices-in-math\/","title":{"rendered":"Understanding Matrices in Math"},"content":{"rendered":"

 <\/p>\n

Matrix:<\/span><\/strong>\u00a0 A matrix is a rectangular arrangement of \u201cmn\u201d elements with \u2018m\u2019 rows and \u2018n\u2019 columns enclosed within brackets.<\/p>\n

Here m x n is called the order of the matrix and it should be read as \u201cm by n\u201d.<\/p>\n

Example: \"\"\u00a0\u00a0is a matrix with 2 rows and 2 columns. So, \"\"\u00a0is a matrix of order 2×2.<\/p>\n

 <\/p>\n

Example:\"\"\u00a0is a matrix of order 2×3.<\/p>\n

 <\/p>\n

Principal diagonal:<\/span><\/strong> The elements for which the row number and column number is same are called the elements of the \u201cprincipal diagonal\u201d.<\/p>\n

Example :1,4 are the elements in the principal diagonal of \"\".<\/p>\n

 <\/p>\n

Types of matrices:<\/span><\/strong><\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0 Column matrix:<\/strong> It is a matrix with only one column.<\/p>\n

Example: \"\"<\/strong><\/p>\n

\u00a0<\/span><\/strong><\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Row matrix:<\/strong> It is a matrix with only one row.<\/p>\n

Example: [1 2 -5] 1×3<\/sub><\/p>\n

 <\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Null matrix:<\/strong> It is a matrix of order mxn where\u00a0 all the elements as zero es is called a null matrix and is denoted by Omxn<\/sub>.<\/p>\n

Example:\"\"<\/strong><\/p>\n

 <\/p>\n

d)\u00a0\u00a0\u00a0\u00a0\u00a0 Rectangular matrix:<\/strong> It is a matrix where the number of rows is not equal to number of columns.<\/p>\n

Example:\"\"<\/strong><\/p>\n

 <\/p>\n

e)\u00a0\u00a0\u00a0\u00a0\u00a0 Square matrix:<\/strong> It is a matrix where the number of rows is equal to number of columns. A square matrix of order nxn is called as a square matrix of order \u2018n\u2019.<\/p>\n

Example:\"\"<\/strong>\u00a0 is a square matrix of order 2.<\/p>\n

f)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Diagonal matrix:<\/strong> It is a square matrix where diagonal elements are non zeroes and the rest are zeroes.<\/p>\n

Example: \"\" <\/strong> .<\/p>\n

g)\u00a0\u00a0\u00a0\u00a0\u00a0 Scalar matrix:<\/strong> It is a diagonal matrix where all the diagonal elements are equal.<\/p>\n

Example: \"\" <\/strong> .<\/p>\n

h)\u00a0\u00a0\u00a0\u00a0\u00a0 Unit or Identity matrix:<\/strong> It is a diagonal matrix where all the diagonal elements are equal to 1. An identity matrix of order mxm is denoted by Im<\/sub>.<\/p>\n

Example: \"\"<\/strong> .<\/p>\n

 <\/p>\n

i)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Lower triangular matrix:<\/strong> It is a square matrix where all the non diagonal elements above\u00a0 the principal diagonal are zeroes.<\/p>\n

Example: \"\"<\/strong> .<\/p>\n

 <\/p>\n

j)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Upper triangular matrix:<\/strong> It is a square matrix where all the non diagonal elements below\u00a0 the principal diagonal are zeroes.<\/p>\n

Example:\"\"<\/strong> .<\/p>\n

 <\/p>\n

SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Winnipeg visit: Tutoring in Winnipeg.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

  Matrix:\u00a0 A matrix is a rectangular arrangement of \u201cmn\u201d elements with \u2018m\u2019 rows and \u2018n\u2019 columns enclosed within brackets. Here m x n is called the order of the matrix and it should be read as \u201cm by n\u201d. Example: \u00a0\u00a0is a matrix with 2 rows and 2 columns. So, \u00a0is a matrix of […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[314,491,1092,1093,1216,1506,1571,1714,1858,1902],"class_list":["post-2016","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-column-matrix","tag-diagonal-matrices","tag-matrices","tag-matrix","tag-null-matrix","tag-rectangular-matrix","tag-row-matrix","tag-square-matrix","tag-triangular-matrix","tag-understanding-matrices"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/2016","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=2016"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/2016\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=2016"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=2016"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=2016"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}