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3 × 2 এবং 2 x 3 ক্রম বিশিষ্ট দুটি মেট্রিক্স যথাক্রমে A এবং B এর ভুক্তি 0 বা 1 হলে tr(BA) এর সর্বোচ্চ মান হবে—

Created: 2 years ago | Updated: 3 months ago
Updated: 3 months ago
গুচ্ছ বিশ্ববিদ্যালয়(GST) A Unit : 2021-22 (set-2) উচ্চতর গণিত ম্যাট্রিক্সের সমতা, যোগ, বিয়োগ ও গুণ
Description
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Best Ans:
1 year ago
MD.SOLAIMAN HOSAN

উচ্চতর গণিত

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|1322031-1P| ম্যাট্রিক্সটি ব্যতিক্রমী হলে P এর মান কত?

|a11a12a13a21a22a23a31a32a33| মেট্রিক্সে aij এর সহগুণক Aij হলে, a21A11+a22A12+a23A13 এর মান কত?
A=[4-13] এবং A=[1  হলে ‍AB মেট্রিক্স কোনটি?
P=4-6-28 যদি এবং P×Q=50 তবে মেট্রিক্স Q কত?
নির্ণায়ক 5102 এর মান 10 হলে মেট্রিক্স 5102 এর মান কত ?
কোনটি স্কেলার মেট্রিক্সের বৈশিষ্ট্য?
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Messages1TimelineExceptionsViews33RouteQueries28Models51Livewire0MailsGateSessionRequest
Request history8.2.27PHP Version61.82msRequest Duration10MBMemory UsageGET admission/single-questionRoute
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    uri
    GET admission/single-question
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    App\Http\Controllers\Academy\QuestionController@singleMcq
    namespace
    prefix
    where
    as
    admission.single-question
    file
    app/Http/Controllers/Academy/QuestionController.php:62-98
    28 statements were executed5.03ms
    • QuestionController.php#190debugerror_satt640μsupdate `questions` set `view_count` = `view_count` + 1 where `id` = 244482
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      • app/Http/Controllers/Academy/QuestionController.php:190
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      • app/Http/Controllers/Academy/QuestionController.php:187
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    • QuestionController.php#256debugerror_satt290μsselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `meta_og_image`, `meta_og_title`, `meta_keyword`, `created_at`, `updated_at`, exists(select * from `review_contents` where `questions`.`id` = `review_contents`.`reviewable_id` and `review_contents`.`reviewable_type` = 'App\\Models\\Question') as `review_content_exists` from `questions` where `id` = '244482' and `questions`.`deleted_at` is null limit 1
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
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    • QuestionController.php#256debugerror_satt130μsselect `id`, `question_id`, `option_1`, `option_2`, `option_3`, `option_4`, `option_5`, `image_option`, `image_question`, `answer` from `question_options` where `question_options`.`question_id` in (244482) and `question_options`.`deleted_at` is null
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
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    • QuestionController.php#256debugerror_satt130μsselect `id`, `description`, `subject_id` from `subject_descriptions` where `subject_descriptions`.`subject_id` in (74) and `subject_descriptions`.`deleted_at` is null
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      • app/Http/Controllers/Academy/QuestionController.php:256
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    • QuestionController.php#256debugerror_satt180μsselect `subjects`.`id`, `subjects`.`name`, `subjects`.`slug`, `subjectables`.`subjectable_id` as `pivot_subjectable_id`, `subjectables`.`subject_id` as `pivot_subject_id`, `subjectables`.`subjectable_type` as `pivot_subjectable_type`, `subjectables`.`created_user_id` as `pivot_created_user_id`, `subjectables`.`deleted_at` as `pivot_deleted_at`, `subjectables`.`status` as `pivot_status`, `subjectables`.`created_at` as `pivot_created_at`, `subjectables`.`updated_at` as `pivot_updated_at` from `subjects` inner join `subjectables` on `subjects`.`id` = `subjectables`.`subject_id` where `subjectables`.`subjectable_id` in (244482) and `subjectables`.`subjectable_type` = 'App\\Models\\Question' and `subjects`.`deleted_at` is null
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      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:256
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      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt120μsselect * from `vote_statistics` where `vote_statistics`.`question_id` in (244482)
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt310μsselect * from `descriptions` where `descriptions`.`descriptionable_id` in (244482) and `descriptions`.`descriptionable_type` = 'App\\Models\\Question' and `status` in ('approve', 'active') and `descriptions`.`deleted_at` is null order by `vote` desc
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      • app/Http/Controllers/Academy/QuestionController.php:256
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      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt130μsselect `id`, `name`, `avatar` from `users` where `users`.`id` in (40209) and `users`.`deleted_at` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:256
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt100μsselect `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (244482) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
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      • app/Http/Controllers/Academy/QuestionController.php:256
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt90μsselect `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (244482) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
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      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:256
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • QuestionController.php#256debugerror_satt80μsselect `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (244482) and `user_id` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:256
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:208
      • app/Http/Controllers/Academy/QuestionController.php:82
    • DynamicPrintService.php#99debugerror_satt160μsselect `subjectable_id` from `subjectables` where `subjectable_type` = 'App\\Models\\Question' and `subject_id` in (2130)
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      Backtrace
      • app/Services/DynamicPrintService.php:99
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      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Services/DynamicPrintService.php:96
      • app/Http/Controllers/Academy/QuestionController.php:409
    • QuestionController.php#451debugerror_satt250μsselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `created_at`, `updated_at` from `questions` where `id` in (83828, 99103, 144445, 191279, 236648, 244482, 245729, 417786) and `id` != 244482 and `questions`.`deleted_at` is null order by `created_at` desc limit 6
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      • 5: 244482
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      • 7: 417786
      • 8: 244482
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:402
    • QuestionController.php#451debugerror_satt230μsselect * from `question_options` where `question_options`.`question_id` in (83828, 99103, 144445, 191279, 245729, 417786) and `question_options`.`deleted_at` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
      • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • app/Http/Controllers/Academy/QuestionController.php:402
    • QuestionController.php#451debugerror_satt100μsselect `id`, `name`, `slug` from `subjects` where `subjects`.`id` in (74) and `subjects`.`deleted_at` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
      • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
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      • app/Http/Controllers/Academy/QuestionController.php:402
    • QuestionController.php#451debugerror_satt220μsselect `id`, `name`, `slug` from `sub_categories` where `sub_categories`.`id` in (4111, 4284, 4386, 4502, 5324, 6073) and `sub_categories`.`deleted_at` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
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    • QuestionController.php#451debugerror_satt160μsselect `id`, `name` from `categories` where `categories`.`id` in (95, 106, 109, 112, 114, 120) and `categories`.`deleted_at` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
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      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
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      • app/Http/Controllers/Academy/QuestionController.php:451
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    • QuestionController.php#451debugerror_satt120μsselect `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (83828, 99103, 144445, 191279, 245729, 417786) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
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      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
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    • QuestionController.php#451debugerror_satt120μsselect `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (83828, 99103, 144445, 191279, 245729, 417786) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
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      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
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    • QuestionController.php#451debugerror_satt110μsselect `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (83828, 99103, 144445, 191279, 245729, 417786) and `user_id` is null
      Backtrace
      • app/Http/Controllers/Academy/QuestionController.php:451
      • app/Http/Controllers/Academy/QuestionController.php:411
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      Backtrace
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      • vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:75
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      Backtrace
      • view::includes.restrict:30
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    App\Models\Subject
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    App\Models\Question
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    App\Models\QuestionOption
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    App\Models\SubCategory
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    App\Models\Category
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