Matrices

Bihar Board Class 12 · Mathematics · 84 past questions

9 of 84 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   If $A = \begin{bmatrix} 1 & -1 \\ -1 & 1 \end{bmatrix}$, then $A^3 =$

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2. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   If $A=\begin{bmatrix}\cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha\end{bmatrix}$ and $A+A'=I$ then…

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3. Q21 2025

   If $A = \begin{bmatrix}2 & -1 & 0\\3 & 4 & 5\end{bmatrix}$ and…

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4. Q36 2024 Set D2024 Set J

   If $A=\begin{bmatrix}2&-3\\4&6\end{bmatrix}$ then $A^{-1}=$

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5. Q39 2024 Set D2024 Set J

   If $2A+B+X=0$, where $A=\begin{bmatrix}-1&2\\3&4\end{bmatrix}$ and $B=\begin{bmatrix}3&-2\\1&5\end{bmatrix}$…

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6. Q64 2021 Set J2021 Set I

   If $A=\begin{bmatrix}\lambda&0\\1&1\end{bmatrix}$, $B=\begin{bmatrix}1&0\\2&1\end{bmatrix}$ and $A^2=B$, then…

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7. Q75 2018

   If $A=\begin{bmatrix}\cos\alpha&-\sin\alpha\\\sin\alpha&\cos\alpha\end{bmatrix}$ and $A+A'=I_2$ then $\alpha=$

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8. Q80 2016

   If $A = \begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}$, then find the value of $A^2 + 3A + 2I$.

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9. Q84 2015

   Find the value of $X$ and $Y$…

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