Class 12 Math Ch-3 Matrix MCQs Exam 2027 
Class 12 Math Ch-3 Matrix MCQs Exam 2027 Details: नीचे दिए गए सभी Questions Bihar Board परीक्षा 2027 के लिए “Very Very Important Multiple Choice Questions (MCQs) Objective” (अत्यंत महत्वपूर्ण प्रश्न) हैं। इन सभी Class 12th के (Mathematics/गणित) = गणित भाग-1 (English Medium) Book Chapter-3 Matrix का Questions का Solve का वीडियो Youtube और Website पर Upload किया है।
Topic 1: Matrix Basics, Equality & Addition
- is a square matrix if: (BSEB 2010, 2026)
(A)
(B)
(C)
(D) None of these - If a matrix has 18 elements, how many possible orders can it have? (BSEB 2026)
(A) 3
(B) 4
(C) 6
(D) 5 - , then: (BSEB 2026)
(A)
(B)
(C)
(D) - , then is: (BSEB 2026)
(A)
(B)
(C)
(D) - If , then $kA = $ (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2024, 2026)
(A)
(B)
(C)
(D) - (BSEB 2024, 2026)
(A)
(B)
(C)
(D) None of these - (BSEB 2024, 2026)
(A)
(B)
(C)
(D) - $A = \begin{bmatrix} 9 & 10 & 11 \ 12 & 13 & 14 \end{bmatrix}, B = \begin{bmatrix} 11 & 10 & 9 \ 8 & 7 & 6 \end{bmatrix} \Rightarrow A + B = $ (BSEB 2017, 2026)
(A)
(B)
(C)
(D) None - If , then is: (BSEB 2018, 2026)
(A)
(B)
(C)
(D) - If then (BSEB 2019, 2026)
(A)
(B)
(C)
(D) - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) - is: (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2023, 2026)
(A)
(B)
(C) All 1s
(D) All 2s - (BSEB 2024, 2026)
(A)
(B)
(C)
(D) - If and , then is: (BSEB 2021, 2026)
(A) 1
(B) -1
(C) 4
(D) None of these - (BSEB 2019, 2026)
(A)
(B)
(C)
(D) - (BSEB 2016, 2026)
(A)
(B)
(C)
(D) - If is order and is order , if: (BSEB 2026)
(A)
(B)
(C)
(D) None - Construct a matrix whose elements are : (BSEB 2026)
(A)
(B)
(C)
(D) None - If then (BSEB 2026)
(A)
(B)
(C)
(D) None
Topic 2: Matrix Multiplication & Powers
- Condition for the product to be defined is: (BSEB 2018, 2026)
(A) Rows of A = Cols of B
(B) Rows of A = Rows of B
(C) Cols of A = Rows of B
(D) Cols of A = Cols of B - If is and is , then order of is: (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2022, 2026)
(A)
(B)
(C)
(D) - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) None of these - (BSEB 2019, 2026)
(A)
(B)
(C)
(D) None of these - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) - (BSEB 2022, 2026)
(A)
(B)
(C)
(D) None - If then is: (BSEB 2021, 2026)
(A)
(B)
(C)
(D) - If then (BSEB 2016, 2026)
(A)
(B)
(C)
(D) - If , then (BSEB 2026)
(A)
(B)
(C)
(D) None of these - If and then (BSEB 2026)
(A)
(B)
(C)
(D) - If then (BSEB 2018, 2026)
(A)
(B)
(C)
(D) - If then (BSEB 2017, 2026)
(A)
(B)
(C)
(D) - (BSEB 2026)
(A)
(B)
(C)
(D) Swapped - If , (BSEB 2024, 2026)
(A)
(B)
(C)
(D) - (BSEB 2022, 2026)
(A)
(B)
(C)
(D) - If is order and is order , order is: (BSEB 2026)
(A)
(B)
(C) Not possible
(D) - If , it implies: (BSEB 2026)
(A) or
(B) and
(C) Not necessarily or
(D) - (BSEB 2023, 2026)
(A) [0]
(B) Row
(C) [1]
(D) Swapped - If and then : (BSEB 2021, 2026)
(A) -1
(B) 1
(C) 4
(D) No real value
Topic 3: Types of Matrices & Identity Matrix
- Which of the following is a identity matrix? (BSEB 2019, 2026)
(A)
(B)
(C)
(D) None - , then $A^{25} = $ (BSEB 2023, 2026)
(A)
(B)
(C)
(D) Both A and C - (BSEB 2025, 2026)
(A)
(B)
(C)
(D) - (BSEB 2022, 2026)
(A)
(B)
(C)
(D) - (BSEB 2025, 2026)
(A)
(B)
(C)
(D) - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) None - (BSEB 2023, 2026)
(A)
(B)
(C)
(D) None - If and , then (BSEB 2026)
(A)
(B)
(C)
(D) - For any Identity matrix : (BSEB 2015, 2026)
(A)
(B)
(C)
(D) - Diagonal matrix where all diagonal elements are equal is: (BSEB 2026)
(A) Scalar matrix
(B) Identity matrix
(C) Unit matrix
(D) None - A matrix with only one row is called: (BSEB 2026)
(A) Row matrix
(B) Column matrix
(C) Square matrix
(D) Zero matrix - If all elements of a matrix are zero, it is: (BSEB 2026)
(A) Null matrix
(B) Identity matrix
(C) Scalar matrix
(D) Row matrix - Number of matrices with entries 0 or 1: (BSEB 2020, 2026)
(A) 27
(B) 18
(C) 81
(D) 512
Topic 4: Transpose, Symmetric & Skew-Symmetric
- , then order is: (BSEB 2012, 2026)
(A)
(B)
(C)
(D) - $A = [4 \quad 2 \quad 3] \Rightarrow A’ = $ (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2025, 2026)
(A)
(B)
(C) Same
(D) - (BSEB 2019, 2026)
(A)
(B)
(C) Positive
(D) Negative - Transpose of is: (BSEB 2022, 2026)
(A)
(B)
(C) Same
(D) None - Square matrix is symmetric if: (BSEB 2020, 2026)
(A)
(B)
(C)
(D) - Square matrix is skew-symmetric if: (BSEB 2020, 2026)
(A)
(B)
(C)
(D) - If A is a square matrix, then is a: (BSEB 2026)
(A) Symmetric matrix
(B) Skew-symmetric matrix
(C) Unit matrix
(D) Null matrix - If is a square matrix then is: (BSEB 2026)
(A) Symmetric
(B) Skew-symmetric
(C) Null
(D) Identity - If and are symmetric, then is: (BSEB 2020, 2026)
(A) Skew-symmetric matrix
(B) Symmetric matrix
(C) Zero matrix
(D) Identity matrix - (BSEB 2012, 2026)
(A)
(B)
(C)
(D) - $(A’)’ = $ (BSEB 2026)
(A)
(B)
(C)
(D) - Matrix is: (BSEB 2026)
(A) Symmetric
(B) Skew-symmetric
(C) Identity
(D) Null - Every square matrix can be expressed as sum of symmetric and skew-symmetric matrix: (BSEB 2026)
(A) True
(B) False
(C) Only for order 2
(D) Only for order 3 - If and , then : (BSEB 2021, 2026)
(A)
(B)
(C)
(D)
Topic 5: Inverse & Adjoint of Matrix
- If is order , $A(adj A) = (adj A)A = $ (BSEB 2026)
(A)
(B)
(C)
(D) - If , then is: (BSEB 2026)
(A)
(B)
(C)
(D) - Adjoint of matrix is: (BSEB 2023, 2026)
(A)
(B)
(C)
(D) - If then (BSEB 2026)
(A)
(B)
(C)
(D) none of these - If is an invertible matrix, then (BSEB 2026)
(A)
(B)
(C)
(D) - If , then $A^{-1} = $ (BSEB 2026)
(A)
(B)
(C)
(D) - If is non-singular , then is: (BSEB 2026)
(A)
(B)
(C) 1
(D) 0 - for matrix: (BSEB 2020, 2026)
(A)
(B)
(C)
(D) - is singular if: (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2026)
(A)
(B)
(C)
(D) - If has no inverse, is: (BSEB 2015, 2026)
(A)
(B)
(C) 5
(D) 3 - Inverse of is: (BSEB 2026)
(A)
(B)
(C)
(D) - If is symmetric, then is: (BSEB 2026)
(A) Symmetric
(B) Skew-symmetric
(C) Identity
(D) None - (BSEB 2026)
(A)
(B)
(C)
(D)
Topic 6: Determinants Calculation
- (BSEB 2026)
(A) 1
(B) 0
(C) 3
(D) 2 - The value of is: (BSEB 2026)
(A) 20
(B) 0
(C) -20
(D) 10 - (BSEB 2021, 2026)
(A) 0
(B) 60
(C) 120
(D) 10 - (BSEB 2026)
(A) 8
(B) 3
(C) 0
(D) 24 - (BSEB 2021, 2026)
(A) 1
(B) 0
(C) -1
(D) - (BSEB 2024, 2026)
(A) 21
(B) 0
(C) 15
(D) 10 - (BSEB 2026)
(A) 0
(B) 1
(C)
(D) - (BSEB 2022, 2026)
(A) 0
(B) 36
(C) 120
(D) -144 - If is , (BSEB 2026)
(A)
(B)
(C)
(D) - Determinant of skew-symmetric matrix of odd order: (BSEB 2026)
(A) 0
(B) 1
(C) -1
(D) 2 - (BSEB 2020, 2026)
(A)
(B) 0
(C) 1
(D) - (BSEB 2026)
(A) -2
(B) 2
(C) 0
(D) 22 - (BSEB 2021, 2026)
(A) 6
(B)
(C) 0
(D) -6 - (BSEB 2026)
(A) 0
(B) 140
(C) 70
(D) 10 - (BSEB 2026)
(A) 1
(B) 0
(C) -1
(D) - If two rows of a determinant are identical, its value is: (BSEB 2026)
(A) 0
(B) 1
(C) -1
(D) 2
Topic 7: Remaining Syllabus Mixed MCQs
- If is order , then has elements: (BSEB 2026)
(A) 6
(B) 5
(C) 2
(D) 3 - Matrix is: (BSEB 2026)
(A) matrix
(B) Square matrix
(C) Both A and B
(D) None - If , then is: (BSEB 2026)
(A) Identity Matrix
(B) Unit Matrix
(C) Scalar Matrix
(D) All of these - Sum of diagonal elements of a square matrix is: (BSEB 2026)
(A) Trace
(B) Determinant
(C) Adjoint
(D) Inverse - matrix is: (BSEB 2026)
(A)
(B)
(C)
(D) - If , (BSEB 2026)
(A)
(B)
(C)
(D) - Scalar multiplication (BSEB 2026)
(A)
(B)
(C)
(D) - Which is true? (BSEB 2026)
(A) may not be equal to
(B) always
(C) always
(D) Both A and C - If , (BSEB 2026)
(A)
(B)
(C)
(D) - For any square matrix , (BSEB 2026)
(A)
(B)
(C)
(D) - If , then (BSEB 2026)
(A) 5
(B) -5
(C)
(D) 0 - Minor of element 4 in is: (BSEB 2026)
(A) 1
(B) 2
(C) 3
(D) 4 - Cofactor of element 1 in is: (BSEB 2026)
(A) 4
(B) -4
(C) 3
(D) -3 - If is , , then (BSEB 2026)
(A) 16
(B) 64
(C) 4
(D) 12 - Matrix multiplication is distributive over addition: (BSEB 2026)
(A) True
(B) False
(C) Only for square matrices
(D) None - If , then (BSEB 2026)
(A)
(B)
(C)
(D) - (BSEB 2026)
(A)
(B)
(C) Both A and B
(D) - Area of triangle with vertices using determinant is 0 if: (BSEB 2026)
(A) Points are collinear
(B) Points form a circle
(C) Points are origin
(D) None - (where is cube root of unity) (BSEB 2026)
(A) 0
(B) 1
(C)
(D) - If , (BSEB 2026)
(A) -8
(B) -2
(C) -4
(D) 8 - Adjoint of is: (BSEB 2026)
(A)
(B)
(C)
(D) None - If is skew-symmetric, then diagonal elements are: (BSEB 2026)
(A) All 0
(B) All 1
(C) Any value
(D) All negative - (BSEB 2026)
(A)
(B)
(C)
(D) None - If , then (BSEB 2026)
(A)
(B)
(C)
(D) - The number of all possible matrices of order with each entry 0 or 1 is: (BSEB 2026)
(A) 16
(B) 8
(C) 4
(D) 2
Bihar Board Class 12th के (Mathematics/गणित) = गणित ‘भाग-1 (Englsih Medium) Book Chapter-3 Matrix के Exam 2027 MCQs Questions Answer Key
| Q. | Ans | Q. | Ans | Q. | Ans | Q. | Ans |
| 1 | A | 33 | A | 65 | A | 97 | B |
| 2 | C | 34 | A | 66 | A | 98 | A |
| 3 | A | 35 | B | 67 | C | 99 | A |
| 4 | A | 36 | A | 68 | B | 100 | A |
| 5 | A | 37 | A | 69 | A | 101 | A |
| 6 | B | 38 | D | 70 | C | 102 | C |
| 7 | A | 39 | A | 71 | A | 103 | D |
| 8 | B | 40 | C | 72 | A | 104 | A |
| 9 | A | 41 | C | 73 | A | 105 | A |
| 10 | A | 42 | D | 74 | A | 106 | A |
| 11 | A | 43 | A | 75 | A | 107 | A |
| 12 | C | 44 | D | 76 | B | 108 | D |
| 13 | B | 45 | C | 77 | B | 109 | A |
| 14 | A | 46 | B | 78 | B | 110 | A |
| 15 | A | 47 | B | 79 | A | 111 | A |
| 16 | C | 48 | A | 80 | A | 112 | A |
| 17 | A | 49 | C | 81 | A | 113 | A |
| 18 | D | 50 | A | 82 | A | 114 | A |
| 19 | A | 51 | A | 83 | A | 115 | A |
| 20 | A | 52 | A | 84 | A | 116 | A |
| 21 | A | 53 | A | 85 | A | 117 | C |
| 22 | C | 54 | A | 86 | B | 118 | A |
| 23 | B | 55 | D | 87 | A | 119 | A |
| 24 | D | 56 | B | 88 | A | 120 | A |
| 25 | C | 57 | A | 89 | A | 121 | A |
| 26 | A | 58 | B | 90 | A | 122 | A |
| 27 | A | 59 | A | 91 | A | 123 | A |
| 28 | B | 60 | A | 92 | A | 124 | A |
| 29 | B | 61 | A | 93 | C | 125 | A |
| 30 | C | 62 | B | 94 | A | ||
| 31 | A | 63 | A | 95 | A | ||
| 32 | B | 64 | B | 96 | A |
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