Class 12 Mathematics — Chapter 3: Matrices
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 12 Mathematics Chapter 3, "Matrices", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Matrices" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Matrices, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 12 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Matrices (Class 12 Mathematics)
This chapter introduces matrices, their algebra (addition, scalar and matrix multiplication), the transpose, special types of matrices, and elementary operations to find inverses.
- Matrix and order
- A rectangular array of numbers; an m × n matrix has m rows and n columns.
- Matrix multiplication
- AB is defined only when columns of A = rows of B; it is associative and distributive but generally not commutative (AB ≠ BA).
- Transpose
- Aᵀ is obtained by interchanging rows and columns; (AB)ᵀ = BᵀAᵀ.
- Symmetric & skew-symmetric
- A is symmetric if Aᵀ = A and skew-symmetric if Aᵀ = −A; any square matrix is a sum of a symmetric and a skew-symmetric matrix.
- Invertible matrix
- A square matrix A is invertible if there exists B with AB = BA = I; the inverse is unique.
Key formulas — Matrices
💡 Exam tips for Matrices
- Matrix multiplication is NOT commutative — keep the order of factors.
- Check that the order is conformable (cols of first = rows of second) before multiplying.
Sample questions
Order of matrix with 2 rows, 3 columns:
rows × cols.
For AB to be defined, columns of A must equal:
(m×n)(n×p) → m×p.
Symmetric matrix:
Skew-symmetric: A' = −A.
Matrices — FAQs
What are the key concepts in Class 12 Mathematics Matrices?+
This chapter introduces matrices, their algebra (addition, scalar and matrix multiplication), the transpose, special types of matrices, and elementary operations to find inverses. Key ideas include Matrix and order, Matrix multiplication, Transpose, Symmetric & skew-symmetric, Invertible matrix.
What does Class 12 Mathematics Chapter 3 (Matrices) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Matrices" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Matrices" questions free to practise?+
Yes — sign in with Google to practise "Matrices" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Matrices" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 66 questions free
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