{"id":71368,"date":"2021-10-03T17:50:48","date_gmt":"2021-10-03T21:50:48","guid":{"rendered":"http:\/\/bangla.salearningschool.com\/recent-posts\/vector-space-s-y-varepsilon-rm-y-ac-c-varepsilon-rn\/"},"modified":"2021-10-03T17:50:48","modified_gmt":"2021-10-03T21:50:48","slug":"vector-space-s-y-varepsilon-rm-y-ac-c-varepsilon-rn","status":"publish","type":"post","link":"http:\/\/bangla.sitestree.com\/?p=71368","title":{"rendered":"Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }"},"content":{"rendered":"<p>If you can, answer the question below: Write your answer in the comment box.<\/p>\n<p><strong> Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you can, answer the question below: Write your answer in the comment box. Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1944],"tags":[],"class_list":["post-71368","post","type-post","status-publish","format-standard","hentry","category-matrix-and-signal-processing","item-wrap"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack-related-posts":[{"id":71360,"url":"http:\/\/bangla.sitestree.com\/?p=71360","url_meta":{"origin":71368,"position":0},"title":"In the above case, if x is a  vector in S, does cx belong to S? c is in R","author":"Sayed","date":"October 3, 2021","format":false,"excerpt":"If you can, answer the question below: Write your answer in the comment box. In the above case, if x is a vector in S, does cx belong to S? c is in R","rel":"","context":"In &quot;Matrix and Signal Processing&quot;","block_context":{"text":"Matrix and Signal Processing","link":"http:\/\/bangla.sitestree.com\/?cat=1944"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":16698,"url":"http:\/\/bangla.sitestree.com\/?p=16698","url_meta":{"origin":71368,"position":1},"title":"Misc Math, Data Science, Machine Learning, PCA, FA","author":"Sayed","date":"January 29, 2020","format":false,"excerpt":"\"In mathematics, a set B of elements (vectors) in a vector space V is called a basis, if every element of V may be written in a unique way as a (finite) linear combination of elements of B. The coefficients of this linear combination are referred to as components or\u2026","rel":"","context":"In &quot;AI ML DS RL DL NN NLP Data Mining Optimization&quot;","block_context":{"text":"AI ML DS RL DL NN NLP Data Mining Optimization","link":"http:\/\/bangla.sitestree.com\/?cat=1910"},"img":{"alt_text":"A=(a_(ij))","src":"https:\/\/i0.wp.com\/mathworld.wolfram.com\/images\/equations\/HermitianMatrix\/Inline1.gif?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":71366,"url":"http:\/\/bangla.sitestree.com\/?p=71366","url_meta":{"origin":71368,"position":2},"title":"Show linear vector space using matrix-vector multiplication. y = AC = [a1 a2 a3&#8230;an] * [c1 c2 c3 &#8230;. cn]. [c1 c2 c3 &#8230;. cn] is in column form","author":"Sayed","date":"October 3, 2021","format":false,"excerpt":"If you can, answer the question below: Write your answer in the comment box. Show linear vector space using matrix-vector multiplication. y = AC = [a1 a2 a3...an] * [c1 c2 c3 .... cn]. [c1 c2 c3 .... cn] is in column form","rel":"","context":"In &quot;Matrix and Signal Processing&quot;","block_context":{"text":"Matrix and Signal Processing","link":"http:\/\/bangla.sitestree.com\/?cat=1944"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":26487,"url":"http:\/\/bangla.sitestree.com\/?p=26487","url_meta":{"origin":71368,"position":3},"title":"C++ Syntax: in brief #Programming #C++","author":"Author-Check- Article-or-Video","date":"April 26, 2021","format":false,"excerpt":"This will make sense only if you want to refresh your memory on C++ syntax. cout << \"Enter two integers:\" << endl; \/\/ output to screen cin >> n >> m; \/\/ Note: Using endl prints out a newline and flushes the output buffer. cout << \"number of digits in\u2026","rel":"","context":"In &quot;FromSitesTree.com&quot;","block_context":{"text":"FromSitesTree.com","link":"http:\/\/bangla.sitestree.com\/?cat=1917"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":70892,"url":"http:\/\/bangla.sitestree.com\/?p=70892","url_meta":{"origin":71368,"position":4},"title":"What is a Vector Space?","author":"Sayed","date":"September 18, 2021","format":false,"excerpt":"If you can, answer the question below: Write your answer in the comment box. 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What do you mean by the concept of vector space?","rel":"","context":"In &quot;Matrix and Signal Processing&quot;","block_context":{"text":"Matrix and Signal Processing","link":"http:\/\/bangla.sitestree.com\/?cat=1944"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/71368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=71368"}],"version-history":[{"count":0,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=\/wp\/v2\/posts\/71368\/revisions"}],"wp:attachment":[{"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=71368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=71368"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/bangla.sitestree.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=71368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}