Karnataka 2nd PUC Maths Chapter 3 Important Questions 2027 Matrices

Karnataka 2nd PUC Maths Chapter 3 Important Questions 2027 cover key concepts from Matrices, including matrix order, types of matrices, trace, transpose, and matrix multiplication. Students can practise MCQs, review important formulas, and solve previous-year KCET questions to revise these concepts.

Matrices include questions based on definitions, properties, and basic calculations. Practising the questions below can help students strengthen their understanding of the chapter and prepare for the Karnataka 2nd PUC Maths exam.

Before starting Chapter 6, students should first check the Karnataka 2nd PUC Syllabus 2026-27 to understand the prescribed topics and then review the Karnataka 2nd PUC Exam Pattern 2027 to understand the question structure and marking scheme. 

Karnataka 2nd PUC Maths Chapter 3 Matrices Important Questions and Answers 

These are Matrix 1 Mark Questions picked from the chapter-wise CET material. Try to answer first, then check the answer.

Q1. A matrix has order 3 × 1. How many total elements does it have?
(A) 1
(B) 3
(C) 9
(D) 6

Answer: (B) 3

Q2. Matrix A has order 3 × 4. How many elements are in each row of A?
(A(A) 3 elements
(B) 4 elements
(C) 12 elements
(D) 7 elements

Answer: (B) 4 elements

Q3. A and B are matrices of order 3 × 4 and 4 × 2. What is the order of AB?
(A) 3 × 4 

(B) 4 × 3 

(C) 2 × 3 

(D) 3 × 2
Answer: (D) 3 × 2

Q4. A row matrix has only:
(A) one element 

(B) one row with one or more columns 

(C) one column with one or more rows 

(D) one row and one column

 Answer: (B) one row with one or more columns

Q5. If A = [[2, x + 3], [2x + 1, 3]] is a symmetric matrix, find the value of x.
(A) 3 

(B) 5 

(C) 2 

(D) 4

 Answer: (C) 2 - In a symmetric matrix, the two off-diagonal elements are equal, so x + 3 = 2x + 1, which gives x = 2.

Q6. Which statement below is not correct?
(A) A row matrix has only one row
(B) A diagonal matrix has all diagonal elements equal to zero
(C) A symmetric matrix A satisfies A′ = A
(D) A skew-symmetric matrix has all diagonal elements equal to zero
Answer: (B) - this is wrong because a diagonal matrix can have any value on the diagonal, not zero.

Q7. If A = [[1, −5, 7], [0, 7, 9], [11, 8, 9]], find the trace of A.
(A) 25 

(B) 17 

(C) 3 

(D) 12

Answer: (B) 17 - trace means the sum of the principal diagonal elements: 1 + 7 + 9 = 17.

Q8. [KCET-25] A and B are matrices such that AB is an identity matrix, and B has order 3 × 4. What is the order of A?
(A) 3 × 4 

(B) 3 × 3 

(C) 4 × 3 

(D) 4 × 4

Answer: (C) 4 × 3

Q9. [KCET-17] If a matrix A is both symmetric and skew-symmetric, then A is a:
(A) Diagonal matrix 

(B) Zero matrix 

(C) Scalar matrix 

(D) Square matrix

Answer: (B) Zero matrix

Q10. If A is a square matrix, then A − A′ is a:
(A) unit matrix 

(B) null matrix 

(C) symmetric matrix 

(D) skew-symmetric matrix

Answer: (D) skew-symmetric matrix

Important Topics in Karnataka 2nd PUC Maths: Matrices

Go over these easy points before you try the questions:

• Order and Elements: A matrix with m rows and n columns has order m × n, and it has m × n elements in total.

• Types of Matrices: Learn row matrix, column matrix, square matrix, diagonal matrix, scalar matrix, unit (identity) matrix, and zero matrix. These are simple to remember and give quick marks.

• Matrix Operations Questions: Practice addition, subtraction, scalar multiplication, and multiplication of matrices. Remember: matrix multiplication is not commutative, so AB is usually not equal to BA.

• Transpose and Symmetry: Learn what a symmetric matrix (A = A′) and a skew-symmetric matrix (A = −A′) mean. Remember, the diagonal of a skew-symmetric matrix is always zero.

• Inverse of Matrix Questions: A square matrix A is invertible if there is a matrix B such that AB = BA = I. Learn simple properties like (AB)⁻¹ = B⁻¹A⁻¹.

Karnataka 2nd PUC Maths Important Questions PDF

The Matrices Important Questions PDF has many more practice MCQs, along with short notes and formulas on matrix addition, multiplication, transpose, and inverse. It also has past KCET questions from 2015 to 2025.

Students can access the complete collection of chapter questions offline. The document contains standard practice problems, solutions, and marking scheme tips. Use this resource for quick revisions during midterm and preparatory tests.

Students should also keep track of the Karnataka 2nd PUC Mid Term Time Table 2026 while planning their revision schedule and completing important chapters on time. 

How to Prepare for Karnataka 2nd PUC Maths Matrices

A simple 5-step plan to revise this chapter fast:

1. Learn the definitions first: Order, types of matrices, and trace are the easiest marks in this chapter.

2. Practice small MCQs daily: This chapter is mostly formula- and logic-based, not long calculations.

3. Focus on symmetric and skew-symmetric matrices: These come again and again in exams.

4. Solve previous KCET questions: Many questions repeat with small changes.

5. Revise properties of inverse and transpose: Write them on a small card and read before the exam.

Karnataka 2nd PUC Maths Chapter 3 Important Questions 2027 cover matrix order, types, symmetric matrices, trace, and multiplication rules in easy language. Regular practice of this Matrices Question Bank will help you score full marks in this chapter.

Students preparing for school-level tests can also refer to the Karnataka 2nd PUC Mid Term Question Paper to practise questions under timed conditions and assess their preparation. 

PW provides Karnataka 2nd PUC exam content, including Karnataka Board Exam Blogs, sample papers, mock tests, guidance sessions, and more. Also, enroll today in Karnataka 2nd PUC Online Coaching to prepare.