CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2026

If A and B are skew-symmetric matrices of same order, then \(\mathrm{AB}^{\prime}+\mathrm{BA}^{\prime}\) is a/an :

A symmetric matrix B skew-symmetric matrix C null matrix D identity matrix

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Question 2 of 3

CBSE Board Exam 2024

If \(A=\left[a_{i j}\right]\) is an identity matrix, then which of the following is true ?

A \(\quad \mathrm{a}_{\mathrm{ij}}= \begin{cases}0, & \text { if } \mathrm{i}=\mathrm{j} \\ 1, & \text { if } \mathrm{i} \neq \mathrm{j}\end{cases}\) B \(\quad \mathrm{a}_{\mathrm{ij}}=1, \forall \mathrm{i}, \mathrm{j}\) C \(\quad a_{i j}=0, \forall i, j\) D \(\quad a_{\mathrm{ij}}= \begin{cases}0, & \text { if } \mathrm{i} \neq \mathrm{j} \\ 1, & \text { if } \mathrm{i}=\mathrm{j}\end{cases}\)

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Question 3 of 3

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?

A \(\mathrm{A}=\mathrm{B}\) B \(\mathrm{AB}=\mathrm{BA}\) C \(\mathrm{A}=0\) or \(\mathrm{B}=0\) D \(\mathrm{A}=\mathrm{I}\) or \(\mathrm{B}=\mathrm{I}\)

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CBSE Past Year MCQ Quiz