{"id":230,"date":"2018-11-10T07:13:59","date_gmt":"2018-11-10T07:13:59","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=230"},"modified":"2024-02-08T13:28:13","modified_gmt":"2024-02-08T12:28:13","slug":"nickzom-calculator-solves-linear-algebra","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/11\/10\/nickzom-calculator-solves-linear-algebra\/","title":{"rendered":"Nickzom Calculator Solves Linear Algebra"},"content":{"rendered":"<p><strong>Linear Algebra\u00a0<\/strong>is a matrix-based mathematical computation analysis. For many students, linear algebra can be a challenging subject that requires the right tools to expedite calculations, such as the Nickzom calculator.<\/p>\n<p>According to <a href=\"https:\/\/en.wikipedia.org\/wiki\/Linear_algebra\">Wikipedia<\/a>, linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of <a title=\"Geometry\" href=\"https:\/\/en.wikipedia.org\/wiki\/Geometry\">geometry<\/a>, including for defining basic objects such as\u00a0<a title=\"Line (geometry)\" href=\"https:\/\/en.wikipedia.org\/wiki\/Line_(geometry)\">lines<\/a>,\u00a0<a title=\"Plane (geometry)\" href=\"https:\/\/en.wikipedia.org\/wiki\/Plane_(geometry)\">planes<\/a>,\u00a0and\u00a0<a title=\"Rotation (mathematics)\" href=\"https:\/\/en.wikipedia.org\/wiki\/Rotation_(mathematics)\">rotations<\/a>.<\/p>\n<p>Also,\u00a0<a title=\"Functional analysis\" href=\"https:\/\/en.wikipedia.org\/wiki\/Functional_analysis\">functional analysis<\/a>\u00a0may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and\u00a0<a title=\"Engineering\" href=\"https:\/\/en.wikipedia.org\/wiki\/Engineering\">engineering<\/a> areas because it allows\u00a0<a title=\"Mathematical model\" href=\"https:\/\/en.wikipedia.org\/wiki\/Mathematical_model\">modeling<\/a> many natural phenomena and efficiently computing with such models. For\u00a0<a title=\"Nonlinear system\" href=\"https:\/\/en.wikipedia.org\/wiki\/Nonlinear_system\">nonlinear systems<\/a>, that cannot be modeled with linear algebra, linear algebra is often used as a first-order approximation.<\/p>\n<h3>Sections You Can Solve with the Nickzom Calculator<\/h3>\n<p>Nickzom Calculator solves 8 major sections of Linear Algebra such as:<\/p>\n<ul>\n<li>Matrix Arithmetic<\/li>\n<li>Determinant of a Square Matrix<\/li>\n<li>Minors and Cofactors of a Square Matrix<\/li>\n<li>Transpose of a Matrix<\/li>\n<li>Adjoint of a Square Matrix<\/li>\n<li>Inverse of a Square Matrix<\/li>\n<li>Eigenvalues and Eigenvectors of a Square Matrix<\/li>\n<li>Simultaneous Equation Using Inverse Method<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"alignnone wp-image-231 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-53-1024x576.png\" alt=\"Nickzom Calculator Solves Linear Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-53-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-53-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-53-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-53.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Under Matrix Arithmetic, there are 6 sub-sections which are:<\/p>\n<ul>\n<li>Addition of Matrices<\/li>\n<li>Subtraction of Matrices<\/li>\n<li>Multiplication of a Matrix by a Scalar<\/li>\n<li>Multiplication of Two Matrices<\/li>\n<li>Division of a Matrix by a Square Matrix<\/li>\n<\/ul>\n<p><!--more--><\/p>\n<p>For the purpose of this post, I will love for us to find the inverse of a 3 by 3 square matrix.<\/p>\n<p>First, you enter the number of rows in the matrix. In this case, it is <strong>3<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-232 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-55-1024x576.png\" alt=\"Nickzom Calculator Solves Linear Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-55-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-55-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-55-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-55.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Next, you enter the matrix values according to rows in this format<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-233\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-56-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-56-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-56-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-56-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-56.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Now click on calculate.<\/p>\n<p><strong>Step 1<\/strong>: It provides the determinant of the square matrix<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-234 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-57-1024x576.png\" alt=\"Nickzom Calculator Solves Linear Algebra\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-57-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-57-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-57-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-57.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/> <img decoding=\"async\" class=\"alignnone size-large wp-image-235\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-58-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-58-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-58-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-58-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-58.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><strong>Step 2<\/strong>: It determines the minors and cofactors of the matrix<\/p>\n<p>See below:<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-236\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-59-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-59-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-59-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-59-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-59.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/> <img decoding=\"async\" class=\"alignnone size-large wp-image-237\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-60-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-60-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-60-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-60-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-60.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><strong>Step 3<\/strong>: It determines the adjoint of the matrix<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-238\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-61-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-61-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-61-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-61-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-61.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><strong>Step 4<\/strong>: It finally produces the inverse of the matrix.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-239\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-62-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-62-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-62-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-62-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-62.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/> <img decoding=\"async\" class=\"alignnone size-large wp-image-240\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-63-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-63-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-63-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-63-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/11\/Screenshot-63.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Very easy, right?<\/p>\n<p>Nickzom Calculator is simply the best.<\/p>\n<p>Want to test the power of Nickzom calculator, access it via any of these channels:<\/p>\n<p>Web \u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p>Android (Free) \u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p>Android (Paid) \u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><\/p>\n<p>Apple (Paid) \u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"Linear Algebra\u00a0is a matrix-based mathematical computation analysis. For many students, linear algebra can be a challenging subject that&hellip;","protected":false},"author":1,"featured_media":12061,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47,4],"tags":[99,54,96,94,97,92,93,95,55,87,98],"class_list":["post-230","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","category-mathematics","tag-adjoint","tag-calculator","tag-cofactor","tag-determinant","tag-inverse","tag-linear-algebra","tag-matrix","tag-minor","tag-nickzom","tag-nickzom-calculator","tag-transpose","cs-entry"],"yoast_head":"<!-- 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