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Matrices and Determinants · 2024 · 1 Feb · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2024 · 1 Feb · Shift 2
Mathematics
Matrices and Determinants

Matrices and Determinants · 2024 · 1 Feb · Shift 2

2 Mathematics questions from this JEE Main paper

Q35.Let the system of equations $x + 2 y + 3 z = 5, 2 x + 3 y + z = 9, 4 x + 3 y + λ z = μ$ have infinite number of solutions. Then $λ + 2 μ$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q57.Let $A = I_{2} - 2 M M^{T}$ , where $M$ is a real matrix of order $2 \times 1$ such that the relation $M^{T} M = I_{1}$ holds. If $λ$ is a real number such that the relation $A X = λ X$ holds for some non-zero real matrix $X$ of order $2 \times 1$ …
Mathematics · Matrices and Determinants · Numerical