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Matrices and Determinants · 2010 · Shift 0

3 Mathematics questions from this JEE Main paper

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JEE Main
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2010 · Shift 0
Mathematics
Matrices and Determinants

Matrices and Determinants · 2010 · Shift 0

3 Mathematics questions from this JEE Main paper

Q36.The number of $3 \times 3$ non-singular matrices, with four entries as $1$ and all other entries as $0$ , is :
Mathematics · Matrices and Determinants · MCQ
Q37.Consider the system of linear equations; $x_{1} + 2 x_{2} + x_{3} = 3 2 x_{1} + 3 x_{2} + x_{3} = 3 3 x_{1} + 5 x_{2} + 2 x_{3} = 1$ The system has :
Mathematics · Matrices and Determinants · MCQ
Q38.Let $A$ be a $2 \times 2$ matrix with non-zero entries and let $A^{2} = I,$ where $I$ is $2 \times 2$ identity matrix. Define $T r (A) =$ sum of diagonal elements of $A$ and $∣ A ∣ =$ determinant of matrix $A$ . Statement- 1: $T r (A) = 0$ …
Mathematics · Matrices and Determinants · MCQ