Matrices

CBSE Class 12 · Mathematics · 34 past questions

13 of 34 · show all

1. Q2 2026

   If A and B are skew symmetric matrices of same order, then which of the following matrices is also skew…

   Try it →
2. Q4 2026

   If $A = \begin{bmatrix} 1 & a & b \\ -1 & 2 & c \\ 0 & 5 & 3 \end{bmatrix}$ is a symmetric matrix, then the…

   Try it →
3. Q5 2026

   If A = $\begin{bmatrix}\cos x & -\sin x\\ \sin x & \cos x\end{bmatrix}$ and A + A' = I, then the value of…

   Try it →
4. Q6 2026

   If A and B are skew-symmetric matrices of same order, then $AB' + BA'$ is a/an…

   Try it →
5. Q12 2025

   If $A = \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix}$ is a symmetric matrix, then…

   Try it →
6. Q13 2025

   Which of the following can be both a symmetric and skew-symmetric matrix ?

   Try it →
7. Q17 2025

   The matrix $\begin{bmatrix}0&1&-2\\-1&0&-7\\2&7&0\end{bmatrix}$ is a…

   Try it →
8. Q22 2024

   If A and B are two skew symmetric matrices, then $(AB + BA)$ is…

   Try it →
9. Q27 2024

   Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…

   Try it →
10. Q28 2023

    If $A = \begin{bmatrix} 1 & 4 & x \\ z & 2 & y \\ -3 & -1 & 3 \end{bmatrix}$ is a symmetric matrix, then the…

    Try it →
11. Q29 2023

    A and B are skew-symmetric matrices of same order. AB is symmetric, if…

    Try it →
12. Q30 2023

    For what value of $x \in \left[0, \dfrac{\pi}{2}\right]$, is $A + A' = \sqrt{3}\, I$, where…

    Try it →
13. Q34 2023

    If $\begin{bmatrix} 2 & 0 \\ 5 & 4 \end{bmatrix} = P + Q$, where P is a symmetric and Q is a skew symmetric…

    Try it →