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## GATE IN 2010

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE IN

A real $$n \times n$$ matrix $$A$$ $$= \left[ {{a_{ij}}} \right]$$ is defined a...
$$X$$ and $$Y$$ are non-zero square matrices of size $$n \times n$$. If $$XY = {... Consider the differential equation$${{dy} \over {dx}} + y = {e^x}$$with$$y(0)...
The integral $$\int\limits_{ - \alpha }^\alpha \delta \left( {t - {\pi \over ...$$u(t)$$represents the unit step function. The Laplace transform of$$u\left( ...

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