MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers

MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Set-A 

MCQ Questions for Class12 Maths Chapter 3 Matrices

Matrices Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Matrices Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 3 Quiz

Class 12 Maths Chapter 3 MCQ Online Test


You can refer to NCERT Solutions for Class 12 Maths Chapter 3 Matrices to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Matrices Class 12 Maths MCQ online test

Q1. \(\left|\begin{array}{lll}
3 & 4 & 5 \\
0 & 2 & 3 \\
0 & 0 & 7
\end{array}\right|\) = A then |A| = ?
A. 40
B. 50
C. 42
D. 15
Ans: 42
Q2. The inverse of A = \(\left|\begin{array}{ll}
2 & 3 \\
5 & k
\end{array}\right|\) will not be obtained if A has the value
A. 2
B. \(\frac{3}{2}\)
C. \(\frac{5}{2}\)
D. \(\frac{15}{2}\)
Ans: \(\frac{15}{2}\)
Q3. For any unit matrix I
A. I² = I
B. |I| = 0
C. |I| = 2
D. |I| = 5
Ans: I² = I
Q4. A matrix A = [aij]m×n is said to be symmetric if
A. aij = 0
B. aij = aji
C. aij = aij
D. aij = 1
Ans: aij = aji
Q5. If A = \(\left|\begin{array}{lll}
1 & 1 & 1 \\
1 & 1 & 1 \\
1 & 1 & 1
\end{array}\right|\) then A² is
A. 27 A
B. 2 A
C. 3 A
D. 1
Ans: 3 A
Q6. A matrix A = [aij]m×n is said to be skew symmetric if
A. aij = 0
B. aij = aji
C. aij = -aji
D. aij = 1
Ans: aij = aji
Q7. A = [aij]m×n is a square matrix if
A. m = n
B. m < n
C. m > n
D. None of these
Ans: m = n
Q8. If A and B are square matrices then (AB)’ =
A. B’A’
B. A’B’
C. AB’
D. A’B’
Ans: B’A’
Q9. If A = \(\left[\begin{array}{cc}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta
\end{array}\right]\) and adj A is
A. \(\left[\begin{array}{cc}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta
\end{array}\right]\)
B. \(\left[\begin{array}{cc}
1 & 0 \\
0 & 1
\end{array}\right]\)
C. \(\left[\begin{array}{cc}
\cos \theta & \sin \theta \\
-\sin \theta & \cos \theta
\end{array}\right]\)
D. \(\left[\begin{array}{cc}
-1 & 0 \\
0 & -1
\end{array}\right]\)

Ans: \(\left[\begin{array}{cc}
\cos \theta & \sin \theta \\
-\sin \theta & \cos \theta
\end{array}\right]\)

Q10. If \(\left[\begin{array}{cc}
1-x & 2 \\
18 & 6
\end{array}\right]\) = \(\left[\begin{array}{cc}
6 & 2 \\
18 & 6
\end{array}\right]\) then x =
A. ±6
B. 6
C. -5
D. 7
Ans: -5
Q11. If \(\left|\begin{array}{ll}
x & 8 \\
3 & 3
\end{array}\right|\) = 0, the value of x is
A. 3
B. 8
C. 24
D. 0
Ans: 8
Q12. If A = \(\left[\begin{array}{cc}
i & 0 \\
0 & i
\end{array}\right]\) then A² =
A. \(\left[\begin{array}{cc}
1 & 0 \\
0 & -1
\end{array}\right]\)
B. \(\left[\begin{array}{cc}
-1 & 0 \\
0 & -1
\end{array}\right]\)
C. \(\left[\begin{array}{cc}
1 & 0 \\
0 & 1
\end{array}\right]\)
D. \(\left[\begin{array}{cc}
-1 & 0 \\
0 & 1
\end{array}\right]\)

Ans: \(\left[\begin{array}{cc}
-1 & 0 \\
0 & -1
\end{array}\right]\)

Q13. Let A be a non-singular matrix of the order 2 × 2 then |A-1|=
A. |A|
B. \(\frac{1}{|A|}\)
C. 0
D. 1
Ans: \(\frac{1}{|A|}\)
Q14. If A = \(\left[\begin{array}{cc}
1 & 2 \\
2 & 1
\end{array}\right]\) then adj A =
A. \(\left[\begin{array}{cc}
1 & -2 \\
-2 & 1
\end{array}\right]\)
B. \(\left[\begin{array}{cc}
2 & 1 \\
1 & 1
\end{array}\right]\)
C. \(\left[\begin{array}{cc}
1 & -2 \\
-2 & -1
\end{array}\right]\)
D. \(\left[\begin{array}{cc}
-1 & 2 \\
-2 & -1
\end{array}\right]\)

Ans: \(\left[\begin{array}{cc}
1 & -2 \\
-2 & 1
\end{array}\right]\)

Q15. If A = \(\left[\begin{array}{cc}
1 & 1 \\
0 & 1
\end{array}\right]\) B = \(\left[\begin{array}{cc}
0 & 1 \\
1 & 0
\end{array}\right]\) then AB =
A. \(\left[\begin{array}{cc}
0 & 0 \\
0 & 0
\end{array}\right]\)
B. \(\left[\begin{array}{cc}
1 & 1 \\
1 & 0
\end{array}\right]\)
C. \(\left[\begin{array}{cc}
1 & 0 \\
0 & 1
\end{array}\right]\)
D. 10
Ans: \(\left[\begin{array}{cc}
1 & 1 \\
1 & 0
\end{array}\right]\)

Q16. If \(\left[\begin{array}{ccc}
1 & 0 & 0 \\
0 & 1 & 0 \\
a & b & -1
\end{array}\right]\) then A² =
A. a unit matrix
B. A
C. a null matrix
D. -A
Ans: a unit matrix
Q17. If A = \(\left[\begin{array}{cc}
α & 0 \\
1 & 1
\end{array}\right]\) B = \(\left[\begin{array}{cc}
1 & 0 \\
5 & 1
\end{array}\right]\) where A² = B then the value of α is
A. 1
B. -1
C. 4
D. we cant calculate the value of α
Ans: we cant calculate the value of α
Q18. If A = \(\left[\begin{array}{cc}
1 & 2 \\
3 & 4
\end{array}\right]\) then
A. |A| = 0
B. A-1 exists
C. A-1 does not exist
D. None of these
Ans: A-1 exists
Q19. If A = \(\left[\begin{array}{cc}
2x & 5 \\
8 & x
\end{array}\right]\) = \(\left[\begin{array}{cc}
6 & -2 \\
7 & 3
\end{array}\right]\) then the value of x is
A. 3
B. ±3
C. ±6
D. 6
Ans: 3
Q20. Let A = \(\left[\begin{array}{cc}
1 & -1 \\
2 & 3
\end{array}\right]\) then
A. A-1 = \(\left[\begin{array}{cc}
\frac{3}{5} & \frac{1}{5} \\
\frac{-2}{5} & \frac{1}{5}
\end{array}\right]\)
B. |A| = 0
C. |A| = 5
D. A² = 1
Ans: A-1 = \(\left[\begin{array}{cc}
\frac{3}{5} & \frac{1}{5} \\
\frac{-2}{5} & \frac{1}{5}
\end{array}\right]\)


MCQ Questions for Class 12 Maths


NCERT Solution of Maths Class 12


Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions Set-C

NCERT Solution of Maths Class 12 Chapter 2

    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-A
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-B
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-C
    MCQ Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Set-D

NCERT Solution of Maths Class 12 Chapter 3

    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-A
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-B
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-C
    MCQ Questions for Class 12 Maths Chapter 3 Matrices Set-D

NCERT Solution of Maths Class 12 Chapter 4

    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-A
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-B
    MCQ Questions for Class 12 Maths Chapter 4 Determinants Set-C

NCERT Solution of Maths Class 12 Chapter 5

    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-A
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-B
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-C
    MCQ Questions for Class 12 Maths Chapter 5 Continuity and Differentiability Set-D

NCERT Solution of Maths Class 12 Chapter 6

    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-A
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-B
    MCQ Questions for Class 12 Maths Chapter 6 Application of Derivatives Set-C

NCERT Solution of Maths Class 12 Chapter 7

    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-B
    MCQ Questions for Class 12 Maths Chapter 7 Integrals Set-C

NCERT Solution of Maths Class 12 Chapter 8

    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-A
    MCQ Questions for Class 12 Maths Chapter 8 Application of Integrals Set-B

NCERT Solution of Maths Class 12 Chapter 9

    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-A
    MCQ Questions for Class 12 Maths Chapter 9 Differential Equations Set-B

NCERT Solution of Maths Class 12 Chapter 10

    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-A
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-B
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-C
    MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra Set-D

NCERT Solution of Maths Class 12 Chapter 11

    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-A
    MCQ Questions for Class 12 Maths Chapter 11 Three Dimensional Geometry Set-B

NCERT Solution of Maths Class 12 Chapter 12

    MCQ Questions for Class 12 Maths Chapter 12 Linear Programming Set-A

NCERT Solution of Maths Class 12 Chapter 13

    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-A
    MCQ Questions for Class 12 Maths Chapter 13 Probability Set-B

NCERT SOLUTIONS FOR CLASS 12

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