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Maths Matrices Class 12 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 12 · Maths · CBSE

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Chapter 3 Class 12 Matrices | 10 questions | about 8 minutes

Practise Matrices Class 12 with Teachoo's 10 Question MCQ (including Assertion) (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
CBSE Board Exam 2024
If \(A=\left[a_{i j}\right]\) is an identity matrix, then which of the following is true ?
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Question 2 of 10
CBSE Board Exam 2026
If a matrix B is such that \(\mathrm{B}\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]=\left[\begin{array}{lll}1 & 2 & 3 \\ 0 & 1 & 1 \\ 2 & 0 & 1\end{array}\right]\), then the order of matrix B is :
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Question 3 of 10
CBSE Board Exam 2025
If A and B are square matrices of same order, then \(\left(\mathrm{AB}^{\mathrm{T}}-\mathrm{BA}^{\mathrm{T}}\right)\) is a
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Question 4 of 10
CBSE Board Exam 2026
If \(\mathrm{A}^{2}=4 \mathrm{~A}+3 \mathrm{I}\) and \(\mathrm{A}^{-1}=\mathrm{xA}+\mathrm{yI}\), then the value of \((\mathrm{x}+\mathrm{y})\) is :
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Question 5 of 10
CBSE Board Exam 2024
Assertion (A) : Every scalar matrix is a diagonal matrix.
Reason (R) : In a diagonal matrix, all the diagonal elements are 0 .
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Question 6 of 10
CBSE Board Exam 2025
Four friends Abhay, Bina, Chhaya and Devesh were asked to simplify \(4 \mathrm{AB}+3(\mathrm{AB}+\mathrm{BA})-4 \mathrm{BA}\), where A and B are both matrices of order \(2 \times 2\). It is known that \(A \neq B \neq I\) and \(A^{-1} \neq B\).
Their answers are given as :
Abhay : 6 AB
Bina : \(7 \mathrm{AB}-\mathrm{BA}\)
Chhaya: 8 AB
Devesh : 7 BA - AB
Who answered it correctly?
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Question 7 of 10
CBSE Board Exam 2025
Assertion (A) : A=diag [ \(\begin{array}{lll}3 & 5 & 2\end{array}\) is a scalar matrix of order \(3 \times 3\).
Reason (R) : If a diagonal matrix has all non-zero elements equal, it is known as a scalar matrix.
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Question 8 of 10
CBSE Board Exam 2026
If a square matrix A is such that \(\mathrm{A}^{2}=\mathrm{A}\) and \((\mathrm{I}-\mathrm{A})^{3}=\mathrm{xA}+\mathrm{I}\), then value of \(x\) must be :
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Question 9 of 10
CBSE Board Exam 2025
Which of the following can be both a symmetric and skew-symmetric matrix?
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Question 10 of 10
CBSE Board Exam 2025
If A and B are square matrices of order m such that \(\mathrm{A}^2-\mathrm{B}^2=(\mathrm{A}-\mathrm{B})(\mathrm{A}+\mathrm{B})\), then which of the following is always correct?
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