Matrices

CBSE Class 12 · Mathematics · 34 past questions

8 of 34 · show all

1. Q3 2026

   If A and B are square matrices of same order, then which of the following statements is/are always true ?…

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2. Q9 2025

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

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3. Q14 2025

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

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4. 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…

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5. 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…

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6. Q19 2024

   If $\begin{bmatrix} x+y & 2 \\ 5 & xy \end{bmatrix} = \begin{bmatrix} 6 & 2 \\ 5 & 8 \end{bmatrix}$, then the…

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7. Q20 2024

   If A and B are two non-zero square matrices of same order such that $(A + B)^2 = A^2 + B^2$, then…

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8. Q31 2023

   If $A = \begin{bmatrix} 3 & 4 \\ 5 & 2 \end{bmatrix}$ and $2A + B$ is a null matrix, then $B$ is equal to…

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