GATE IN 2007
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## GATE IN

Let $$A = \left[ {{a_{ij}}} \right],\,\,1 \le i,j \le n$$ with $$n \ge 3$$ and $${{a_{ij}} = i.j.}$$ Then the rank of \$
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Let $$A$$ be $$n \times n$$ real matrix such that $${A^2} = {\rm I}$$ and $$Y$$ be an $$n$$-diamensional vector. Then th
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For real $$x,$$ the maximum value of $${{{e^{Sin\,x}}} \over {{e^{Cos\,x}}}}\,\,$$ is
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Consider the function $$\,\,f\left( x \right) = {\left| x \right|^3},\,\,\,$$ where $$x$$ is real. Then the function $$f View Question The value of$$\,\int\limits_0^\infty {\int\limits_0^\infty {{e^{ - {x^2}}}{e^{ - {y^2}}}} dx\,dy\,\,\,\,} $$is View Question Assume that the duration in minutes of a telephone conversation follows the exponential distribution$$\,f\left( x \righ
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Let $$j\, = \,\sqrt { - 1}$$. Then one value of $${j^j}$$ is
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For the function $${{\sin z} \over {{z^3}}}$$ of a complex variable z, the point z = 0 is
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Identity the Newton $$-$$ Raphson iteration scheme for the finding the square root of $$2$$
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The polynomial $$\,p\left( x \right) = {x^5} + x + 2\,\,$$ has
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