Matrices

JEE Advanced · Mathematics · 56 past questions

10 of 56 · show all

1. Q7 2024 Paper 1

   Let $\mathbb{R}^2$ denote $\mathbb{R}\times\mathbb{R}$. Let…

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2. Q15 2021 Paper 1

   For any $3 \times 3$ matrix $M$, let $|M|$ denote the determinant of $M$. Let…

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3. 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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4. Q17 2020 Paper 1

   Let $M$ be a $3\times3$ invertible matrix with real entries and let $I$ denote the $3\times3$ identity…

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5. Q20 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. 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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8. Q33 2014 Paper 1

   Let $M$ be a $2 \times 2$ symmetric matrix with integer entries. Then $M$ is invertible if

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9. Q37 2012 Paper 2

   If the adjoint of a $3\times3$ matrix $P$ is $\begin{bmatrix}1&4&4\\2&1&7\\1&1&3\end{bmatrix}$, then the…

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10. Q49 2010 Paper 2

    Let $k$ be a positive real number and let…

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