MHT CET PYQs for Matrices with Solutions: Practice MHT CET Previous Year Questions

Matrices is a Class 12 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Matrices PYQs are:

Inverse and adjoint of a matrix
Properties of determinants
Cofactors and minors
System of linear equations by the matrix method
Symmetric and skew symmetric matrices

Practising Matrices MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get about 3 marks per paper by covering Matrices. The chapter recorded 125 questions across the 80 shifts in the data, and 48 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Matrices Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2016-2026)	125
Questions in the 2025 and 2026 papers (33 shifts)	48
Questions in the 2018 to 2026 papers (80 shifts)	119
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 125 questions from MHT CET 2026 to 2016, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Matrices PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Matrices PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	33	16	About 2 out of 50
2025	15	17	About 1 out of 50
2024	16	18	About 1 out of 50
2023	14	12	About 1 out of 50
2022	2	1	About 2 out of 50

The 2018 to 2021 papers in the PDF add 39 more questions: 2021 had 26, 2020 had 6, 2019 had 5, 2018 had 2; the papers before 2018 add 3 from 2017, 3 from 2016.

MHT CET Matrices Important Questions: Topic-Wise Breakdown

The major types of questions asked from Matrices in MHT CET cover the following topics:

Topic	Questions in the PDF	Share of the PDF
Inverse of matrix	15	12%
Inverse Of A Matrix	14	11%
Adjoint Of A Matrix	6	5%
Properties Of Determinants	5	4%
Expansion Of Determinant	5	4%
Cofactors	4	3%
Matrix equation	4	3%
Adjoint of matrix	4	3%
Other topics tagged in the PDF	68	54%

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Matrices PYQs

Every question in this PDF is a single-correct MCQ. Most are calculations on a given matrix or determinant.

Question Style	What it Tests
Inverse and adjoint	The inverse or the adjoint of a given matrix, and the value of \|A\| when A(adj A) is given as 10 times the identity matrix
Cofactors	The value of an expression in the cofactors of the elements of a given matrix
Determinant properties	The value of a determinant that is zero for a given condition, and the determinant of the adjoint of a matrix
Linear equations	The solution of a system AX = B when A and B are given matrices
Matrix equations	The value of a matrix expression when A is a non-singular matrix and a given relation holds

How to Use the Matrices PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 48 of the 125 questions.
Learn the relations A(adj A) = |A|I and |adj A| = |A|ⁿ⁻¹ for a matrix of order n.
For a system of equations, find A⁻¹ first and then use X = A⁻¹B.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Matrices PYQs and MCQs

Source: GanitAnk

Matrices PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Matrices every year?

Ans. In this PDF, the questions are 33 from 2026, 15 from 2025, 16 from 2024, 14 from 2023 and 2 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 48 questions across 33 shifts, which is about 1 in a typical shift.

Ques. Which topics are asked most frequently in MHT CET Matrices?

Ans. Inverse of matrix is the largest topic tag in the PDF with 15 of the 125 questions, about 12%.

Ques. What kind of questions are asked from Matrices?

Ans. Single-correct MCQs, mostly calculations. Common ones ask for the inverse or the adjoint of a matrix, the value of a determinant, or the solution of a system of equations.

Ques. What is the best way to practise Matrices PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Matrices?

Ans. In 2025 and 2026 together the chapter had 48 questions across 33 shifts. Learning the formulas for the adjoint and the inverse and the properties of determinants is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Matrices PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Matrices with Solutions: Practice MHT CET Previous Year Questions

Matrices PYQ Statistics (2022-2026)

MHT CET Matrices Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Matrices PYQs

How to Use the Matrices PYQ PDF for MHT CET

Video: Matrices PYQs and MCQs

Matrices PYQ for MHT CET Mathematics FAQs

1.
If \(A = [\begin{array}{cc}5a & -b \\ 3 & 2\end{array}]\) and \(A\,(\text{adj }A) = AA^T\), Then \(5a+b =\)

2.
If \(A = [\begin{array}{cc}secθ & -tanθ \\ -tanθ & secθ\end{array}]\), \(θ\in (0,\frac{π}{2})\) such that \(A+adj\,A = 4I\), then \(θ =\)

3.
If \(A = [\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}]\), \(B^{-1} = \left[ \begin{array}{cc}\frac{1}{5} & \frac{2}{5} \\ \frac{2}{5} & -\frac{1}{5}\end{array} \right]\), then \((AB)^{-1} =\)

4.
Let \(A = [\begin{array}{cc}-3 & 2 \\ 1 & 4\end{array}]\) and if \(A^2-2A+I = [\begin{array}{cc}18 & p \\ q & 11\end{array}]\), then \(\ldots\)

5.
If \(A = [\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}]\) and \(A^2+xA+yI_2 = O_2\), where \(I_2\) and \(O_2\) are the identity matrix and null matrix of order 2 respectively, then:

6.
Inverse of \([\begin{array}{cc}3 & -2 \\ 1 & 4\end{array}]\) is

7.
If matrix \(A = \left[ \begin{array}{ccc}-1 & 2025 & 2026 \\ 0 & 2 & 2027 \\ 0 & 0 & -1\end{array} \right]\), then the sum of all elements in \(\text{adj}(A^{-1})\) is equal to...

8.
Let \(A = [\begin{array}{cc}a & 1 \\ 1 & b\end{array}]\), where \(a\) and \(b\) are the roots of the equation \(x^2-4x+2 = 0\). If \(A+A^{-1} = kI_2\), then the value of \(k\) is ____

9.
Let \(A = \left[ \begin{array}{ccc}cosα & -sinα & 0 \\ sinα & cosα & 0 \\ 0 & 0 & 1\end{array} \right]\). If \(B = \text{adj}\,A\), then the matrix \(B^{-1}\) is equal to...

10.
If \(A = [\begin{array}{cc}cosθ & -sinθ \\ sinθ & cosθ\end{array}]\), then the matrix \(A^{-3}\) when \(θ = \frac{π}{6}\) is equal to...

12.
If \(A = \left[ \begin{array}{ccc}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 2 & 5\end{array} \right]\), \(B = \left[ \begin{array}{c}1 \\ 0 \\ 1\end{array} \right]\) such that \(XA = B^T\) and \(A^{-1}Y = B\), then \(XY =\)

13.
If \(f(x) = \frac{1-x}{1+x}\), then \(f(f(cosx)) =\)

14.
If the matrix \(A = [\begin{array}{cc}4 & 1 \\ 3 & 2\end{array}]\) is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which of the following relations is correct?

15.
If \(A = [a_{ij}]_{3\times 3}\), where \(a_{ij} = \{\begin{array}{cc}1, & \text{if }i+j\text{ is even} \\ 0, & \text{if }i+j\text{ is odd}\end{array}\), then \(\text{adj}(A) = \ldots\) ..

Comments

SUBSCRIBE TO OUR NEWS LETTER

Matrices PYQ Statistics (2022-2026)

MHT CET Matrices Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Matrices PYQs

How to Use the Matrices PYQ PDF for MHT CET

Video: Matrices PYQs and MCQs

Matrices PYQ for MHT CET Mathematics FAQs

1.If \(A = [\begin{array}{cc}5a & -b \\ 3 & 2\end{array}]\) and \(A\,(\text{adj }A) = AA^T\), Then \(5a+b =\)

2.If \(A = [\begin{array}{cc}secθ & -tanθ \\ -tanθ & secθ\end{array}]\), \(θ\in (0,\frac{π}{2})\) such that \(A+adj\,A = 4I\), then \(θ =\)

3.If \(A = [\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}]\), \(B^{-1} = \left[ \begin{array}{cc}\frac{1}{5} & \frac{2}{5} \\ \frac{2}{5} & -\frac{1}{5}\end{array} \right]\), then \((AB)^{-1} =\)

4.Let \(A = [\begin{array}{cc}-3 & 2 \\ 1 & 4\end{array}]\) and if \(A^2-2A+I = [\begin{array}{cc}18 & p \\ q & 11\end{array}]\), then \(\ldots\)

5.If \(A = [\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}]\) and \(A^2+xA+yI_2 = O_2\), where \(I_2\) and \(O_2\) are the identity matrix and null matrix of order 2 respectively, then:

6.Inverse of \([\begin{array}{cc}3 & -2 \\ 1 & 4\end{array}]\) is

7.If matrix \(A = \left[ \begin{array}{ccc}-1 & 2025 & 2026 \\ 0 & 2 & 2027 \\ 0 & 0 & -1\end{array} \right]\), then the sum of all elements in \(\text{adj}(A^{-1})\) is equal to...

8.Let \(A = [\begin{array}{cc}a & 1 \\ 1 & b\end{array}]\), where \(a\) and \(b\) are the roots of the equation \(x^2-4x+2 = 0\). If \(A+A^{-1} = kI_2\), then the value of \(k\) is ____

9.Let \(A = \left[ \begin{array}{ccc}cosα & -sinα & 0 \\ sinα & cosα & 0 \\ 0 & 0 & 1\end{array} \right]\). If \(B = \text{adj}\,A\), then the matrix \(B^{-1}\) is equal to...

10.If \(A = [\begin{array}{cc}cosθ & -sinθ \\ sinθ & cosθ\end{array}]\), then the matrix \(A^{-3}\) when \(θ = \frac{π}{6}\) is equal to...

12.If \(A = \left[ \begin{array}{ccc}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 2 & 5\end{array} \right]\), \(B = \left[ \begin{array}{c}1 \\ 0 \\ 1\end{array} \right]\) such that \(XA = B^T\) and \(A^{-1}Y = B\), then \(XY =\)

13.If \(f(x) = \frac{1-x}{1+x}\), then \(f(f(cosx)) =\)

14.If the matrix \(A = [\begin{array}{cc}4 & 1 \\ 3 & 2\end{array}]\) is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which of the following relations is correct?

15.If \(A = [a_{ij}]_{3\times 3}\), where \(a_{ij} = \{\begin{array}{cc}1, & \text{if }i+j\text{ is even} \\ 0, & \text{if }i+j\text{ is odd}\end{array}\), then \(\text{adj}(A) = \ldots\) ..

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \(A = [\begin{array}{cc}5a & -b \\ 3 & 2\end{array}]\) and \(A\,(\text{adj }A) = AA^T\), Then \(5a+b =\)

2.
If \(A = [\begin{array}{cc}secθ & -tanθ \\ -tanθ & secθ\end{array}]\), \(θ\in (0,\frac{π}{2})\) such that \(A+adj\,A = 4I\), then \(θ =\)

3.
If \(A = [\begin{array}{cc}2 & 3 \\ 5 & -2\end{array}]\), \(B^{-1} = \left[ \begin{array}{cc}\frac{1}{5} & \frac{2}{5} \\ \frac{2}{5} & -\frac{1}{5}\end{array} \right]\), then \((AB)^{-1} =\)

4.
Let \(A = [\begin{array}{cc}-3 & 2 \\ 1 & 4\end{array}]\) and if \(A^2-2A+I = [\begin{array}{cc}18 & p \\ q & 11\end{array}]\), then \(\ldots\)

5.
If \(A = [\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}]\) and \(A^2+xA+yI_2 = O_2\), where \(I_2\) and \(O_2\) are the identity matrix and null matrix of order 2 respectively, then:

6.
Inverse of \([\begin{array}{cc}3 & -2 \\ 1 & 4\end{array}]\) is

7.
If matrix \(A = \left[ \begin{array}{ccc}-1 & 2025 & 2026 \\ 0 & 2 & 2027 \\ 0 & 0 & -1\end{array} \right]\), then the sum of all elements in \(\text{adj}(A^{-1})\) is equal to...

8.
Let \(A = [\begin{array}{cc}a & 1 \\ 1 & b\end{array}]\), where \(a\) and \(b\) are the roots of the equation \(x^2-4x+2 = 0\). If \(A+A^{-1} = kI_2\), then the value of \(k\) is ____

9.
Let \(A = \left[ \begin{array}{ccc}cosα & -sinα & 0 \\ sinα & cosα & 0 \\ 0 & 0 & 1\end{array} \right]\). If \(B = \text{adj}\,A\), then the matrix \(B^{-1}\) is equal to...

10.
If \(A = [\begin{array}{cc}cosθ & -sinθ \\ sinθ & cosθ\end{array}]\), then the matrix \(A^{-3}\) when \(θ = \frac{π}{6}\) is equal to...

12.
If \(A = \left[ \begin{array}{ccc}3 & 2 & 6 \\ 1 & 1 & 2 \\ 2 & 2 & 5\end{array} \right]\), \(B = \left[ \begin{array}{c}1 \\ 0 \\ 1\end{array} \right]\) such that \(XA = B^T\) and \(A^{-1}Y = B\), then \(XY =\)

13.
If \(f(x) = \frac{1-x}{1+x}\), then \(f(f(cosx)) =\)

14.
If the matrix \(A = [\begin{array}{cc}4 & 1 \\ 3 & 2\end{array}]\) is expressed as the sum of a symmetric matrix B and a skew symmetric matrix C then which of the following relations is correct?

15.
If \(A = [a_{ij}]_{3\times 3}\), where \(a_{ij} = \{\begin{array}{cc}1, & \text{if }i+j\text{ is even} \\ 0, & \text{if }i+j\text{ is odd}\end{array}\), then \(\text{adj}(A) = \ldots\) ..