Matrices

CBSE Class 12 · Mathematics · 34 past questions

9 of 34 · show all

Q9 2025

Let $A = \begin{bmatrix} 1 & -2 & -1 \\ 0 & 4 & -1 \\ -3 & 2 & 1 \end{bmatrix}$…
Q10 2025

If $A = \begin{bmatrix} 7 & 0 & x \\ 0 & 7 & 0 \\ 0 & 0 & y \end{bmatrix}$ is a scalar matrix, then $y^x$ is…
Q11 2025

If A and B are invertible matrices, then which of the following is not correct ?
Q12 2025

If $A = \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix}$ is a symmetric matrix, then…
Q13 2025

Which of the following can be both a symmetric and skew-symmetric matrix ?
Q14 2025

Four friends Abhay, Bina, Chhaya and Devesh were asked to simplify 4 AB + 3(AB + BA) – 4 BA, where A and B…
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…
Q17 2025

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