{"id":1750,"date":"2012-06-05T01:39:01","date_gmt":"2012-06-05T01:39:01","guid":{"rendered":"http:\/\/schooltutoring.com\/scholarship\/?p=1750"},"modified":"2014-12-02T08:33:44","modified_gmt":"2014-12-02T08:33:44","slug":"elementary-operations-rowcolumn-operations-on-matrices","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2012\/06\/05\/elementary-operations-rowcolumn-operations-on-matrices\/","title":{"rendered":"Elementary Operations (Row\/Column Operations) on Matrices"},"content":{"rendered":"

Row operations:<\/span><\/strong><\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0 Interchanging of two rows: <\/strong>We can interchange any two rows in a matrix. The interchanging of ith<\/sup> and jth<\/sup> rows is symbolically denoted by Ri<\/sub> \u2194 Rj<\/sub>.<\/p>\n

\"\"<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplying a row by a scalar: <\/strong>We can multiply any row of a scalar. Multiplying ith<\/sup> row by a scalar \u2018m\u2019 is symbolically denoted by Ri<\/sub>\u2192mRi<\/sub>.<\/p>\n

\"\"<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplying a row by a scalar and adding the elements of this row to the corresponding elements of the other row:\u00a0 <\/strong>Multiplying jth<\/sup> row by a scalar \u2018m\u2019 and adding it to the ith <\/sup>row is symbolically denoted by Ri<\/sub>\u2192Ri<\/sub>+mRj<\/sub><\/p>\n

\"\"<\/p>\n

Column operations:<\/span><\/strong><\/p>\n

a) \u00a0\u00a0\u00a0\u00a0 Interchanging of two columns: <\/strong>We can interchange any two columns in a matrix. The interchanging of ith<\/sup> and jth<\/sup> columns is symbolically denoted by Ci<\/sub> \u2194 Cj<\/sub>.<\/p>\n

\"\"<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplying a column by a scalar: <\/strong>We can multiply any column of a scalar. Multiplying ith<\/sup> column by a scalar \u2018m\u2019 is symbolically denoted by Ci<\/sub>\u2192mCi<\/sub>.<\/p>\n

\"\"<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplying a column by a scalar and adding the elements of this column to the corresponding elements of the other column:\u00a0 <\/strong>Multiplying jth<\/sup> column by a scalar \u2018m\u2019 and adding it to the ith <\/sup>column is symbolically denoted by Ci<\/sub>\u2192Ci<\/sub>+mCj.<\/sub><\/p>\n

\"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

Row operations: a)\u00a0\u00a0\u00a0\u00a0\u00a0 Interchanging of two rows: We can interchange any two rows in a matrix. The interchanging of ith and jth rows is symbolically denoted by Ri \u2194 Rj. b)\u00a0\u00a0\u00a0\u00a0\u00a0 Multiplying a row by a scalar: We can multiply any row of a scalar. Multiplying ith row by a scalar \u2018m\u2019 is symbolically denoted […]<\/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":[42,313,573,949,1249,1570,1587],"class_list":["post-1750","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-add","tag-column","tag-elementary","tag-interchange","tag-operations","tag-row","tag-scalar"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1750","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=1750"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/1750\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=1750"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=1750"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=1750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}