Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
1
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$\left[ {\matrix{ 2 & { - 1} & 0 & 0 \cr 0 & 3 & 0 & 0 \cr 0 & 0 & { - 2} & 0 \cr 0 & 0 & { - 1} & 4 \cr } } \right]$$ are
A
$$2,-2,1,-1$$
B
$$2,3,-2,4$$
C
$$2,3,1,4$$
D
None
2
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the matrix $$A = \left[ {\matrix{ 0 & 1 \cr 1 & 0 \cr } } \right]$$ are
A
$$1,1$$
B
$$-1,-1$$
C
$$j,-j$$
D
$$1,-1$$
3
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
The rank of $$\left( {m \times n} \right)$$ matrix $$\left( {m < n} \right)$$ cannot be more then
A
$$m$$
B
$$n$$
C
$$mn$$
D
None
4
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
The following system of equations
$${{x_1} + {x_2} + {x_3} = 3}$$
$${{x_1} - {x_3} = 0}$$
$${{x_1} - {x_2} + {x_3} = 1}$$ has
A
Unique solution
B
No solution
C
Infinite number of solutions
D
Only one solution
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics