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Matrices and Determinants · 2008 · Shift 0

2 Mathematics questions from this JEE Main paper

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JEE Main
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2008 · Shift 0
Mathematics
Matrices and Determinants

Matrices and Determinants · 2008 · Shift 0

2 Mathematics questions from this JEE Main paper

Q38.Let $a, b, c$ be any real numbers. Suppose that there are real numbers $x, y, z$ not all zero such that $x = cy + b z, y = a z + c x,$ and $z = b x + a y .$ Then $a^{2} + b^{2} + c^{2} + 2 ab c$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q39.Let $A$ be $a 2 \times 2$ matrix with real entries. Let $I$ be the $2 \times 2$ identity matrix. Denote by tr $(A)$ , the sum of diagonal entries of $a$ . Assume that $a^{2} = I .$ Statement-1 : If $A e I$ and $A e - I$ , then det $(A) = - 1$ …
Mathematics · Matrices and Determinants · MCQ