MCQ Questions for Class 12 Maths Chapter 3 Matrices with Answers

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

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.	If matrix A = [aij]2×2 where aij = {\(_{0 if i = j}^{1 if i ≠ j}\) then A² is equal to
	A. I
	B. A
	C. O
	D. None of these

Ans: I

Q2.	The matrix \(\left[\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 0 \end{array}\right]\) is a
	A. identity matrix
	B. symmetric matrix
	C. skew symmetric matrix
	D. None of these

Ans: symmetric matrix

Q3.	The matrix \(\left[\begin{array}{ccc} 0 & -5 & 8 \\ 5 & 0 & 12 \\ -8 & -12 & 0 \end{array}\right]\) is a
	A. diagonal matrix
	B. symmetric matrix
	C. skew symmetric matrix
	D. scalar matrix

Ans: skew symmetric matrix

Q4.	If A is matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is
	A. m × m
	B. n × n
	C. n × m
	D. m × n

Ans: m × n

Q5.	If A and B are matrices of same order, then (AB’ – BA’) is a
	A. skew symmetric matrix
	B. null matrix
	C. symmetric matrix
	D. unit matrix

Ans: skew symmetric matrix

Q6.	If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to
	A. A
	B. I – A
	C. I + A
	D. 3 A

Ans: A

Q7.	For any two matrices A and B, we have
	A. AB = BA
	B. AB ≠ BA
	C. AB = 0
	D. None of these

Ans: None of these

Q8.	If A = [aij]2×2 where aij = i + j, then A is equal to
	A. \(\left[\begin{array}{cc} 1 & 2 \\ 3 & 4 \end{array}\right]\)
	B. \(\left[\begin{array}{cc} 2 & 3 \\ 3 & 4 \end{array}\right]\)
	C. \(\left[\begin{array}{cc} 1 & 1 \\ 2 & 2 \end{array}\right]\)
	D. \(\left[\begin{array}{cc} 1 & 2 \\ 1 & 2 \end{array}\right]\)

Ans: \(\left[\begin{array}{cc}
2 & 3 \\
3 & 4
\end{array}\right]\)

Q9.	The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
	A. 18
	B. 512
	C. 81
	D. None of these

Ans: 512

Q10.	The order of the single matrix obtained from \(\left[\begin{array}{cc} 1 & -1 \\ 0 & 2 \\ 2 & 3 \end{array}\right]\) \(\left\{\left[\begin{array}{ccc} -1 & 0 & 2 \\ 2 & 0 & 1 \end{array}\right]-\left[\begin{array}{ccc} 0 & 1 & 23 \\
	A. 2 × 2
	B. 2 × 3
	C. 3 × 2
	D. 3 × 3

Ans: 3 × 3

Q11.	A square matrix A = [aij]n×n is called a diagonal matrix if aij = 0 for
	A. i = j
	B. i < j
	C. i > j
	D. i ≠ j

Ans: i ≠ j

Q12.	A square matrix A = [aij]n×n is called a lower triangular matrix if aij = 0 for
	A. i = j
	B. i < j
	C. i > j
	D. None of these

Ans: i < j

Q13.	The matrix A = \(\left[\begin{array}{cc} 0 & 1 \\ 1 & 0 \end{array}\right]\) is a
	A. unit matrix
	B. diagonal matrix
	C. symmetric matrix
	D. skew symmetric matrix

Ans: symmetric matrix

Q14.	If \(\left[\begin{array}{cc} x+y & 2x+z\\ x-y & 2z+2 \end{array}\right]\) = \(\left[\begin{array}{cc} 4 & 7 \\ 0 & 10 \end{array}\right]\) then find the value of x, y, z and w respectively
	A. 2, 2, 3, 4
	B. 2, 3, 1, 2
	C. 3, 3, 0, 1
	D. None of these

Ans: 2, 2, 3, 4

Q15.	If \(\left[\begin{array}{cc} x-y & 2x+z\\ 2x-y & 3z+w \end{array}\right]\) = \(\left[\begin{array}{cc} -1 & 5 \\ 0 & 13 \end{array}\right]\) then the value of w is
	A. 1
	B. 2
	C. 3
	D. 4

Ans: 4

Q16.	Find x, y, z and w respectively such that \(\left[\begin{array}{cc} x-y & 2x+z\\ 2x-y & 2x+w \end{array}\right]\) = \(\left[\begin{array}{cc} 5 & 3 \\ 12 & 15 \end{array}\right]\)
	A. 7, 2, 1, 1
	B. 7, 5, 3, 8
	C. 1, 2, 5, 6
	D. 6, 3, 2, 1

Ans: 7, 2, 1, 1

Q17.	If \(\left[\begin{array}{cc} a+b & 2\\ 5 & ab \end{array}\right]\) = \(\left[\begin{array}{cc} 6 & 2 \\ 5 & 8 \end{array}\right]\) then find the value of a and b respectively
	A. 2, 4
	B. 4, 2
	C. Both (a) and (b)
	D. None of these

Ans: Both (a) and (b)

Q18.	For what values of x and y are the following matrices equal A = \(\left[\begin{array}{cc} 2x+1 & 3y\\ 0 & y^{2}-5y \end{array}\right]\) B = \(\left[\begin{array}{cc} x+3 & y^{2}+2 \\ 0 & -6 \end{array}\right]\)
	A. 2, 3
	B. 3, 4
	C. 2, 2
	D. 3, 3

Ans: 2, 2

Q19.	If A = \(\left[\begin{array}{cc} α & 0\\ 1 & 1 \end{array}\right]\) and B = \(\left[\begin{array}{cc} 1 & 0 \\ 5 & 1 \end{array}\right]\) then find value of α for which A² = B is
	A. 1
	B. -1
	C. 4
	D. None of these

Ans: None of these

Q20.	If P = \(\left[\begin{array}{ccc} i & 0 & -i \\ 0 & -i & i \\ -i & i & 0 \end{array}\right]\) and Q = \(\left[\begin{array}{cc} -i & i \\ 0 & 0 \\ i & -i \end{array}\right]\) then PQ is equal to
	A. \(\left[\begin{array}{cc} -2 & 2 \\ 1 & -1 \\ 1 & -1 \end{array}\right]\)
	B. \(\left[\begin{array}{cc} 2 & -2 \\ -1 & 1 \\ -1 & 1 \end{array}\right]\)
	C. \(\left[\begin{array}{cc} 2 & -2\\ -1 & 1 \end{array}\right]\)
	D. \(\left[\begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}\right]\)

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

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

MCQ QUESTIONS WITH ANSWER

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• MCQ QUESTIONS FOR CLASS 7
• MCQ QUESTIONS FOR CLASS 8
• MCQ QUESTIONS FOR CLASS 9
• MCQ QUESTIONS FOR CLASS 10
• MCQ QUESTIONS FOR CLASS 11
• MCQ QUESTIONS FOR CLASS 12

NCERT SOLUTIONS FOR CLASS 12