1
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67
e4 denotes the exponential of a square matrix A. Suppose $$\lambda$$ is an eigen value and v is the corresponding eigen-vector of matrix A.
Consider the following two statements:
Statement 1 : e$$\lambda$$ is an eigen value of eA.
Statement 2 : v is an eigen-vector of eA.
Which one of the following options is correct?
2
GATE EE 2022
MCQ (Single Correct Answer)
+2
-0.67
Consider a matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 4 & { - 2} \cr 0 & 1 & 1 \cr } } \right]$$. The matrix A satisfies the equation 6A$$-$$1 = A2 + cA + dI, where c and d are scalars and I is the identify matrix. Then (c + d) is equal to
3
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The eigen values of the matrix given below are $$\left[ {\matrix{
0 & 1 & 0 \cr
0 & 0 & 1 \cr
0 & { - 3} & { - 4} \cr
} } \right]$$
4
GATE EE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Let $$P = \left[ {\matrix{
3 & 1 \cr
1 & 3 \cr
} } \right].$$ Consider the set $$S$$ of all vectors $$\left( {\matrix{
x \cr
y \cr
} } \right)$$ such that $${a^2} + {b^2} = 1$$ where $$\left( {\matrix{
a \cr
b \cr
} } \right) = P\left( {\matrix{
x \cr
y \cr
} } \right).$$ Then $$S$$ is
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement