ME GATE 2012 - Online Test
Q1. For the matrix 
ONE of the normalized Eigen vectors is given as
ONE of the normalized Eigen vectors is given as
Answer : Option B
Explaination / Solution:
To find eigenvector, first find Eigen-values by solving equation
So for λ = 2, the eigenvector 15
Normalized Eigen Vector
Q2. The inverse Laplace transform of the function F(s) = 1/(s(S+1)) is given by
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. +2y + z = 4
2x + y + 2z = 5
x - y + z = 1
The system of algebraic equation given above has
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. Consider the differential equation 
with the boundary conditions of y(0) = 0 and y(1) = 1. The complete solution of the differential equation is
with the boundary conditions of y(0) = 0 and y(1) = 1. The complete solution of the differential equation is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one
after another, without replacement. The probability that the selected set contains one red ball and
two black balls is
Answer : Option D
Explaination / Solution:
No Explaination.
