Matrices

CBSE Class 12 · Mathematics · 34 past questions

11 of 34 · show all

Q2 2026

If A and B are skew symmetric matrices of same order, then which of the following matrices is also skew…
Q6 2026

If A and B are skew-symmetric matrices of same order, then $AB' + BA'$ is a/an…
Q8 2026

If a square matrix A is such that $A^2 = A$ and $(I - A)^3 = xA + I$, then value of x must be…
Q12 2025

If $A = \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix}$ is a symmetric matrix, then…
Q15 2025

If A and B are square matrices of order m such that $A^2 - B^2 = (A - B)(A + B)$, then which of the following…
Q16 2025

If A and B are square matrices of same order such that AB = A and BA = B, then $A^2 + B^2$ is equal to…
Q25 2024

If $A = [a_{ij}]$ be a $3 \times 3$ matrix, where $a_{ij} = i - 3j$, then which of the following is *false* ?
Q26 2024

If $F(x) = \begin{bmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \end{bmatrix}$ and…
Q27 2024

Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
Q29 2023

A and B are skew-symmetric matrices of same order. AB is symmetric, if…
Q32 2023

If $A = \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}$ and $(3I + 4A)(3I - 4A) = x^2 I$, then the value(s)…