1
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of $$\left[ {\matrix{ 1 & 1 & 1 \cr 1 & 1 & 1 \cr 1 & 1 & 1 \cr } } \right]$$ are
A
$$0,0,0$$
B
$$0,0,1$$
C
$$0,0,3$$
D
$$1,1,1$$
2
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
If a function is continuous at a point its first derivative
A
may or may not exist
B
exists always
C
will not exist
D
has a unique value
3
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
The expression curl $$\left( {grad\,f} \right)$$ where $$f$$ is a scalar function is
A
Equal to $${\nabla ^2}f$$
B
Equal to $$div\left( {grad\,f} \right)$$
C
A scalar of zero magnitude
D
A vector of zero magnitude
4
GATE ME 1996
MCQ (Single Correct Answer)
+1
-0.3
The particular solution for the differential equation $${{{d^2}y} \over {d{t^2}}} + 3{{dy} \over {dx}} + 2y = 5\cos x$$ is
A
$$0.5\,Cos\,x + 1.5\,Sin\,x$$
B
$$1.5\,Cos\,x + 0.5\,Sin\,x$$
C
$$1.5\,Sin\,x$$
D
$$0.5\,Cos\,x$$
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