Matrices

JEE Advanced · Mathematics · 56 past questions

10 of 56 · show all

1. Q4 2026 Paper 2

   Let $\mathbb{R}$ denote the set of all real numbers and let $i=\sqrt{-1}$. Consider the matrices…

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2. Q6 2025 Paper 2

   Let $I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ and…

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3. Q12 2022 Paper 2

   Let $\beta$ be a real number. Consider the matrix…

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4. Q16 2021 Paper 1

   For any $3\times3$ matrix $M$, let $|M|$ denote the determinant of $M$. Let $I$ be the $3\times3$ identity…

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5. Q19 2019 Paper 1

   Let…

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6. Q22 2019 Paper 2

   Let $x \in \mathbb{R}$ and let $P = \begin{bmatrix}1&1&1\\0&2&2\\0&0&3\end{bmatrix}$…

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7. Q25 2017 Paper 1

   Which of the following is(are) NOT the square of a $3\times3$ matrix with real entries?

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8. Q28 2016 Paper 1

   Let $P=\begin{bmatrix}3&-1&-2\\2&0&\alpha\\3&-5&0\end{bmatrix}$, where $\alpha\in\mathbb{R}$. Suppose…

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9. Q51 2009 Paper 1

   Paragraph for Question Nos. 33 to 35…

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10. Q52 2009 Paper 1

    Paragraph for Question Nos. 33 to 35…

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