Class 12 Math: Matrices and Determinants Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Matrices and Determinants to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

For any square matrix A, AAT is a
  • Option 1: unit matrix
  • Option 2: symmetric matrix
  • Option 3: skew-symmetric matrix
  • Option 4: diagonal matrix

Solution Explanation & Steps: (b) symmetric matrix

Question 2 (EASY)

If A is square matrix such that A2 = I , then (A - I)3 + (A + I)2 - 7A is equal to
  • Option 1: -A
  • Option 2: I - A
  • Option 3: I + A
  • Option 4: 3A

Solution Explanation & Steps: (a) -A

Question 3 (EASY)

If 1 2 1 2 3 1 3 1 a [ ] [ ] [ ] [ ][ ] is non-singular matrix and a āˆˆ A, then the set A is:
  • Option 1: IR
  • Option 2: {0}
  • Option 3: {4}
  • Option 4: IR - {4}

Solution Explanation & Steps: (d) IR - {4} ASSERTION-REASON BASED QUESTIONS In the following questions, a statement of assertion (A) is followed by a statement of Reason (R). Choose the correct answer out of the following choices. (a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is not the correct explanation of A. (c) A is true but R is false. (d) A is false but R is true.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

šŸ“š Class 12 Math Resource Hub for Matrices and Determinants: ā€¢ šŸ§® Interactive Solver: Solve Matrices and Determinants Problems - Verify steps in real-time. ā€¢ šŸ“ Timed Practice Quiz: Take Matrices and Determinants Online Quiz - Test your speed and concepts. ā€¢ šŸ“„ Printable Worksheet: Download Matrices and Determinants PDF Worksheet - Interactive problems with answers. ā€¢ šŸ“ Formula Sheet: View Matrices and Determinants Key Equations - Complete revision references. ā€¢ šŸ”„ Next Topic Guide: Continuity and Differentiability Study Notes ā€¢ šŸŽ“ Syllabus Overview: Class 12 Mathematics Portal - Access all chapter guides.
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