Determinants

CBSE Class 12 · Mathematics · 30 past questions

5 of 30 · show all

1. Q22 2023

   If $A \cdot (\operatorname{adj} A) = \begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}$, then…

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2. Q24 2023

   If for a square matrix A, $A^2 - 3A + I = O$ and $A^{-1} = xA + yI$, then the value of $x + y$ is…

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3. Q25 2023

   If $|A| = 2$, where A is a $2 \times 2$ matrix, then $|4A^{-1}|$ equals…

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4. Q26 2023

   Let A be a $3 \times 3$ matrix such that $|\text{adj } A| = 64$. Then $|A|$ is equal to…

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5. Q30 2023

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

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