{"id":17995,"date":"2026-05-02T20:23:26","date_gmt":"2026-05-02T14:23:26","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/two-by-two-matrix-test-16\/"},"modified":"2026-05-02T20:23:26","modified_gmt":"2026-05-02T14:23:26","slug":"two-by-two-matrix-test-16","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/two-by-two-matrix-test-16\/","title":{"rendered":"Two By Two Matrix Test 16"},"content":{"rendered":"<p>Find the determinant of the matrix [[-4, -5], [-2, 3]].<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>22<\/li>\n<li>-22<\/li>\n<li>-1<\/li>\n<li>-2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705,2721],"subject":[1425],"education_level":[1896],"class_list":["post-17995","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-matrices","subject-mathematics","education_level-hsc"],"mcq_note":"For a 2\u00d72 matrix, calculate the determinant by multiplying the main diagonal and subtracting the other diagonal. Be careful with negative numbers while doing the subtraction. For a 2\u00d72 matrix [[a,b],[c,d]], determinant is ad-bc. Here det=-4(3)+ 5(-2)=-22. The final determinant is the value obtained after this diagonal calculation.","mcq_options":[{"right":"no","answer":"22"},{"right":"yes","answer":"-22"},{"right":"no","answer":"-1"},{"right":"no","answer":"-2"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"},{"id":2721,"title":"Matrices","slug":"matrices"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=17995"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17995"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17995"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17995"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}