Matrices CBSE Class 12 PYQ Chapter Wise (2016–2026)

Explore: All CBSE Class 12 chapters · CBSE Class 12 Mathematics PYQs · CBSE Class 12 hub · Syllabus & pattern · Class 12 2026

Answer first

Matrices PYQs (previous year questions) for CBSE Class 12: Matrices (Mathematics) had 28 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 9 of them. Asked in 9 of 10 years. The concepts asked in the most papers: Inverse of Matrix, Matrix Algebra, Transpose of Matrix.

Year-wise question count

Asked in 9 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Matrices PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Matrices questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.

CBSE Class 122026

• Q.2 (Mathematics (65/1/1)) · MCQ · Order of Matrix: Which order cannot be that of a row matrix PDF
• Q.3 (Mathematics (65/1/1)) · MCQ · Transpose of Matrix: Which transpose properties hold for matrices of suitable orders PDF
• Q.6 (Mathematics (65/1/1)) · MCQ · Skew-Symmetric Matrices: Which combination of two skew-symmetric matrices is skew-symmetric PDF
• Q.33 (Mathematics (65/1/1)) · Long answer · Inverse of Matrix: Find A^-1 of a 3x3 matrix and solve a linear system PDF

CBSE Class 122025

• Q.1 (Mathematics (65/1/1)) · MCQ · Inverse of Matrix: Inverse of a given 3x3 diagonal matrix PDF
• Q.9 (Mathematics (65/1/1)) · MCQ · Multiplication of Matrices: Which of the products AB, AC, BA are defined PDF
• Q.13 (Mathematics (65/1/1)) · MCQ · Types of Matrices: Value of y^x when a given matrix is scalar PDF
• Q.15 (Mathematics (65/1/1)) · MCQ · Inverse of Matrix: Identify the incorrect property of inverses and adjoints PDF
• Q.35 (Mathematics (65/1/1)) · Long answer · System of Linear Equations: Students in three clubs from conditions using matrix method PDF

CBSE Class 122024

• Q.2 (Mathematics (65/1/1)) · MCQ · Order of Matrix: Number of possible orders of a matrix with 36 elements PDF
• Q.5 (Mathematics (65/1/1)) · MCQ · Equality of Matrices: Find a value from entries of two equal matrices PDF
• Q.18 (Mathematics (65/1/1)) · MCQ · Matrix Algebra: Condition on A and B when (A + B)^2 = A^2 + B^2 PDF
• Q.32 (Mathematics (65/1/1)) · Long answer · Inverse of Matrix: Find A^-1 of a 3x3 matrix and solve a linear system PDF

CBSE Class 122023

• Q.1 (Mathematics (65/1/1)) · MCQ · Matrix Algebra: Find x + y when A^-1 = xA + yI given A^2 - 3A + I = O PDF
• Q.4 (Mathematics (65/1/1)) · MCQ · Matrix Operations: Find B when 2A + B is the null matrix PDF
• Q.14 (Mathematics (65/1/1)) · MCQ · Matrix Algebra: Value of x when (3I + 4A)(3I - 4A) = x^2 I for given A PDF
• Q.33 (Mathematics (65/1/1)) · Long answer · Inverse of Matrix: Find (AB)^-1 for two given 3x3 matrices PDF

CBSE Class 122020

• Q.2 (Mathematics (65/1/1)) · MCQ · Matrix Algebra: Simplify (I - A)^3 + A for an idempotent matrix A PDF
• Q.13 (Mathematics (65/1/1)) · Fill in the blank · Transpose of Matrix: Order of the transpose of a 3x2 matrix PDF
• Q.33 (Mathematics (65/1/1)) · Long answer II · Inverse of Matrix: Find A^-1 of a 3x3 matrix and solve a linear system PDF

CBSE Class 122019

• Q.6 (Mathematics (65/1/1)) · Short answer · Matrix Operations: Find matrix A from a linear matrix equation in B and C PDF
• Q.24 (Mathematics (65/1/1)) · Long answer II · Inverse of Matrix: Find A^-1 of a 3x3 matrix and solve a linear system PDF

CBSE Class 122018

• Q.2 (Mathematics (65/1)) · Very short answer · Skew-Symmetric Matrices: Find a and b so a given 3x3 matrix is skew-symmetric PDF
• Q.6 (Mathematics (65/1)) · Short answer · Inverse of Matrix: Compute inverse of a 2x2 matrix and verify 2A^-1 = 9I - A PDF
• Q.25 (Mathematics (65/1)) · Long answer II · Inverse of Matrix: Find A^-1 of a 3x3 matrix and solve a linear system PDF

CBSE Class 122017

• Q.24 (Mathematics (65/1)) · Long answer II · Inverse of Matrix: Multiply two matrices and use the product to solve a system PDF

CBSE Class 122016

• Q.1 (Mathematics (65/1/N)) · Very short answer · Transpose of Matrix: Find angle when A plus its transpose equals root-2 times identity PDF
• Q.8 (Mathematics (65/1/N)) · Long answer I · Matrix Applications: Typing charges per page via matrices, plus discount and values PDF

Other Mathematics chapters

• Relations and Functions PYQs
• Inverse Trigonometric Functions PYQs
• Determinants PYQs
• Continuity and Differentiability PYQs
• Application of Derivatives PYQs
• Integrals PYQs
• Application of Integrals PYQs
• Differential Equations PYQs
• Vector Algebra PYQs
• Three Dimensional Geometry PYQs
• Linear Programming PYQs
• Probability PYQs

FAQ

How many Matrices questions come in CBSE Class 12?

In the official papers we tagged: 4 in 2026, 5 in 2025, 4 in 2024, 4 in 2023, 3 in 2020, 2 in 2019, 3 in 2018, 1 in 2017 and 2 in 2016. Not asked in the other year. That is 28 questions in all, about 9% of Mathematics.

Which Matrices topics repeat in CBSE Class 12?

Asked in the most papers: Inverse of Matrix, Matrix Algebra, Transpose of Matrix. The concept table lists every one with its count.

Are these official CBSE Class 12 questions?

Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.