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url url url url
  2. Weltenzyklopädie
  3. معادله خطی - ویکی‌پدیا، دانشنامهٔ آزاد
معادله خطی - ویکی‌پدیا، دانشنامهٔ آزاد
از ویکی‌پدیا، دانشنامهٔ آزاد
یک خط در دستگاه مختصات جبری

معادلهٔ خطی (به انگلیسی: Linear equation) یک معادلهٔ جبری است که در آن هر جمله، یا متغیر است یا حاصل‌ضرب یک ثابت و تنها یک متغیر با توان یک. این معادلات ممکن است یک یا چند متغیر داشته باشند. این معادلات دارای یک ریشه بوده و در صورتی که همهٔ اعداد و ضرایب معادله حقیقی باشند آنگاه جواب نیز در مجموعه اعداد حقیقی تعیین خواهد شد. شکل عموم این نوع معادلات بدین صورت است: که در آن و اعداد ثابتی می‌باشند ( مخالف صفر) و هم مجهول می‌باشد. پاسخ چنین معادله ای برابر است با منفی تقسیم بر .

در دستگاه مختصات، خط‌هایی وجود دارند که از مبدأ می‌گذرند که به آنها خطوط از مبدأ گذر می‌گویند.

فرم کلی این گونه خطوط به این شکل است: y=ax(در اینجا،bصفر فرض شده است).

تعریف و کاربرد

منظور از معادلهٔ خطی معادله‌ای به صورت است که در آن و مقادیر ثابت‌اند و کمیت‌هایی هستند که باید معین شوند. و به ترتیب مجهولهای معادله و ضریب نام دارند.[۱] معادلات خطی در حل مسائل ریاضی، علوم فیزیک (سینماتیک و …)، زیستی یا اجتماعی (تجارت و اقتصاد) نقش ویژه‌ای ایفا می‌کنند.[۲][۳]

جستارهای وابسته

منابع

  1. ↑ اونان، مایکل. (1976) جبر خطی. ترجمه محمدی حسن‌آبادی، علی اکبر. مرکز نشر دانشگاهی.
  2. ↑ https://www.cuemath.com/algebra/applications-linear-equations/
  3. ↑ اونان، مایکل. (۱۹۷۶) جبر خطی. ترجمه محمدی حسن‌آبادی، علی اکبر. مرکز نشر دانشگاهی.


آیکون خرد

این یک مقالهٔ خرد ریاضیات است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

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