Matrices

Bihar Board Class 12 · Mathematics · 84 past questions

23 of 84 · show all

1. Q13 2025

   The number of all possible matrices of order 2 × 2 with each entry 3 or 7 is

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2. Q14 2025

   $6\begin{bmatrix} -2 & 1 \\ 3 & 5 \end{bmatrix} =$

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3. Q15 2025

   $A = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \Rightarrow A^4 =$

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4. Q16 2025

   $[1\ {-2}\ 0]\begin{bmatrix} 3 \\ -2 \\ 11 \end{bmatrix} =$

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5. Q17 2025

   If $A$ and $B$ are invertible matrices of same order then $(AB)^{-1} =$

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6. Q18 2025

   $2\begin{bmatrix} 3 & 7 \\ 1 & -2 \end{bmatrix} + 5\begin{bmatrix} 1 & 3 \\ 0 & 4 \end{bmatrix} =$

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7. Q19 2025

   If $A = \begin{bmatrix} 2 & -1 & 0 \\ 7 & 3 & 5 \end{bmatrix}$ then $A' =$

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8. Q20 2025

   If $A = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$ then $A^{-1} =$

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9. Q21 2025

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

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10. Q22 2025

    Find the inverse matrix of the matrix $A = \begin{bmatrix}3 & 2\\5 & -1\end{bmatrix}$.

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11. Q23 2025

    Solve the following linear equations by matrix method. $2x+3y+3z=5$, $x-2y+z=-4$, $3x-y-2z=3$.

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12. Q24 2025 Set A2025 Set E2023

    $\begin{bmatrix}6 & 5\end{bmatrix}\begin{bmatrix}1\\-1\end{bmatrix} =$

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13. Q25 2025 Set A2025 Set E20232023 Set E

    $\begin{bmatrix}2 & 3\\5 & 7\end{bmatrix}\begin{bmatrix}2\\5\end{bmatrix} =$

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14. Q26 2025 Set A2025 Set E

    $\begin{bmatrix}3 & -2\end{bmatrix}\begin{bmatrix}1\\-1\end{bmatrix}=$

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15. Q27 2025 Set A2025 Set E

    $\begin{bmatrix}4\end{bmatrix}\begin{bmatrix}2 & -2\end{bmatrix}=$

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16. Q28 2025 Set A2025 Set E

    $\begin{bmatrix}5&-1\\6&7\end{bmatrix}\cdot\begin{bmatrix}2&1\\3&4\end{bmatrix}=$

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17. Q29 2025 Set A2025 Set E

    $A=\begin{bmatrix}1&2&3\end{bmatrix}\Rightarrow A'=$

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18. Q30 2025 Set A

    $\begin{bmatrix}1&2\\3&4\end{bmatrix}\begin{bmatrix}1&0\\0&1\end{bmatrix} =$

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19. Q31 2025 Set A2025 Set E

    $A=\begin{bmatrix}1&0\\0&1\end{bmatrix} \Rightarrow A^{100} =$

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20. Q32 2025 Set A2025 Set E

    $\begin{bmatrix}1&2\\3&4\end{bmatrix}\begin{bmatrix}4&0\\0&4\end{bmatrix} =$

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21. Q33 2025 Set A

    The adjoint of the matrix $\begin{bmatrix}2&3\\5&4\end{bmatrix}$ is

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22. Q34 2025 Set E20232023 Set E

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

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23. Q35 2025 Set E

    Adjoint matrix of matrix $\begin{bmatrix}2 & 3\\5 & 4\end{bmatrix}=$

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