1
GATE PI 1994
+1
-0.3
For the following matrix $$\left[ {\matrix{ 1 & { - 1} \cr 2 & 3 \cr } } \right]$$ the number of positive characteristic roots is
A
one
B
two
C
four
D
cannot be found
2
GATE PI 1994
+1
-0.3
Given matrix $$L = \left[ {\matrix{ 2 & 1 \cr 3 & 2 \cr 4 & 5 \cr } } \right]\,\,$$ and $$M = \left[ {\matrix{ 3 & 2 \cr 0 & 1 \cr } } \right]$$
then $$L \times M$$ is
A
$$\left[ {\matrix{ 8 & 1 \cr {13} & 2 \cr {22} & 5 \cr } } \right]$$
B
$$\left[ {\matrix{ 6 & 5 \cr 9 & 8 \cr {12} & {13} \cr } } \right]$$
C
$$\left[ {\matrix{ 1 & 8 \cr 2 & {13} \cr 5 & {22} \cr } } \right]$$
D
$$\left[ {\matrix{ 6 & 2 \cr 9 & 4 \cr 0 & 5 \cr } } \right]$$
3
GATE PI 1994
+1
-0.3
Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ with $$y(0)=1$$ and $${y^1}\left( 0 \right) = - 2$$
A
$$\,\left( {1 - t} \right){e^{ - t}}$$
B
$$\,\left( {1 + t} \right){e^{ t}}$$
C
$$\,\left( {1 + t} \right){e^{ - t}}$$
D
$$\,\left( {1 - t} \right){e^{ t}}$$
4
GATE PI 1994
True or False
+1
-0
The composition of an oxy-acetylene flame for cutting of steel contain more oxygen.
A
TRUE
B
FALSE
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