{"id":5185,"date":"2026-07-08T16:14:30","date_gmt":"2026-07-08T10:44:30","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=5185"},"modified":"2026-07-10T10:00:01","modified_gmt":"2026-07-10T04:30:01","slug":"seo-title-ncert-class-12-maths-exercise-3-1-solutions-matrices-guide","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/seo-title-ncert-class-12-maths-exercise-3-1-solutions-matrices-guide\/","title":{"rendered":"NCERT Class 12 Maths Exercise 3.1 Solutions – Matrices Guide"},"content":{"rendered":"
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\"image_print\"Print<\/span><\/a> 7<\/span><\/div>\n

Short Intro<\/h3>\n\n\n\n

Chapter 3 of Class 12 Mathematics (Matrices) focuses on the foundational concepts of arrays. Exercise 3.1 is designed to clear up core ideas regarding the order, elements, construction, and equality of matrices. This comprehensive guide provides step-by-step solutions for all 10 problems in the exercise to help students ace their board and competitive examinations.<\/p>\n\n\n\n

Quick Information Box<\/h3>\n\n\n\n
Key Metric<\/strong><\/td>Details<\/strong><\/td><\/tr><\/thead>
Board \/ Syllabus<\/strong><\/td>NCERT \/ CBSE \/ State Boards (Class 12)<\/td><\/tr>
Chapter Name<\/strong><\/td>Chapter 3: Matrices<\/td><\/tr>
Exercise<\/strong><\/td>Exercise 3.1<\/td><\/tr>
Total Questions<\/strong><\/td>10 (Short answer, long answer, and MCQs)<\/td><\/tr>
Core Topics<\/strong><\/td>Order of Matrix, Element Identification, Matrix Construction, Equality of Matrices<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Concepts Used (Topics Covered)<\/h3>\n\n\n\n

To solve this exercise seamlessly, you need to understand the following primary definitions:<\/p>\n\n\n\n

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  1. Definition of Matrix:<\/strong> An ordered rectangular array of numbers or functions.<\/li>\n\n\n\n
  2. Order of a Matrix:<\/strong> A matrix having m rows and n columns is said to be of order m×n.<\/li>\n\n\n\n
  3. Number of Elements:<\/strong> An m×n matrix contains exactly mn elements.<\/li>\n\n\n\n
  4. Construction of Matrices:<\/strong> Creating matrix structures using a specified element-generation formula aij​.<\/li>\n\n\n\n
  5. Equality of Matrices:<\/strong> Two matrices are equal if they share the exact same order and their corresponding elements are identical.<\/li>\n<\/ol>\n\n\n\n

    Important Formulas<\/h3>\n\n\n\n
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    1. Matrix representation:<\/strong> A=[aij​<\/sub>]m×n​<\/sub><\/li>\n\n\n\n
    2. Total number of elements<\/strong> = Rows (m)×Columns (n)=mn<\/li>\n\n\n\n
    3. Condition for Equality:<\/strong> If A=[aij<\/sub>​] and B=[bij​<\/sub>] are equal, then:\n