1
GATE PI 1994
True or False
+1
-0
The matrix $$\left[ {\matrix{ 1 & { - 4} \cr 1 & { - 5} \cr } } \right]$$ is an inverse of the matrix $$\left[ {\matrix{ 5 & { - 4} \cr 1 & { - 1} \cr } } \right]$$
A
TRUE
B
FALSE
2
GATE PI 1994
MCQ (Single Correct Answer)
+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
$$\,\left( {1 - t} \right){e^{ t}}$$
3
GATE PI 1994
MCQ (Single Correct Answer)
+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
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