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Yukti Vault

Algebra

Matrices: JEE Main & Advanced PYQs

203 previous year questions on Matrices from JEE Main and JEE Advanced papers, each with its exam and year, an answer and a solution.

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Questions 201-203 of 203

  1. Let $A$ be a $2\times2$ matrix. Statement - 1 : $\operatorname{adj}(\operatorname{adj}A)=A$. Statement - 2 : $|\operatorname{adj}A|=|A|$.
  2. Let $A=\begin{bmatrix}m&n\\p&q\end{bmatrix}$, $d=|A|\ne0$ and $|A-d(\operatorname{Adj}A)|=0$. Then
  3. Let $A=\{a_{ij}\}$ be a $3\times3$ matrix, where $a_{ij}=\begin{cases}(-1)^{j-i} & \text{if } i j\end{cases}$ then $\det\left(3\,\mathrm{Adj}(2A^{-1})\right)$ is equal …

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