st","extracted_subject":"MATH","extracted_chapter":"DETERMINANTS AND MATRICES","extracted_topic":"SYSTEM OF LINEAR EQUATIONS, SOME SPECIAL DETERMINANTS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2182.png?top_left_x=532&top_left_y=387&width=532&height=363&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e74425d76b7ab320d52","slug":"if-d-left-beginmatrix-a_1-a_2-a_3-b_1-b_2-b_3-c_1-","content":"If D = \\(\\left| \\begin{matrix}\na_{1} & a_{2} & a_{3} \\\\\nb_{1} & b_{2} & b_{3} \\\\\nc_{1} & c_{2} & c_{3}\n\\end{matrix} \\right|\\) then value of b₁B₁ + b₂B ₂ + b₃B ₃ is where B₁, B₂, B₃ are co-factor of a₁, a₂, a₃ respectively-","options":[{"_id":"68a391fd7f15af4716b9c56f","text":"D","sequence":0,"isCorrect":false},{"_id":"68a391fd7f15af4716b9c570","text":"D²","sequence":1,"isCorrect":false},{"_id":"68a391fd7f15af4716b9c571","text":"0","sequence":2,"isCorrect":true},{"_id":"68a391fd7f15af4716b9c572","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"0","explanation":"b₁B₁ + b₂B₂ + b₃B₃ = 0","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:40.245Z","__v":0,"vector_store_id":"5a618a52-ec93-4073-ab90-e672220b74fa","updated_at":"2024-08-30T21:49:40.245Z","isStarred":false},"params":{"questionSlug":"if-d-left-beginmatrix-a_1-a_2-a_3-b_1-b_2-b_3-c_1-"}}]}]]

Question: If D = \(\left| \begin{matrix} a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \\ c_{1} & c_{2} & c_{...

Solution