Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
1
GATE EE 2005
MCQ (Single Correct Answer)
+1
-0.3
In the matrix equation $$PX=Q$$ which of the following is a necessary condition for the existence of atleast one solution for the unknown vector $$X.$$
A
Augmented matrix $$\left[ {P|Q} \right]$$ must have the same rank as matrix $$P.$$
B
vector $$Q$$ must have only non-zero elements.
C
matrix $$P$$ must be singular
D
matrix $$P$$ must be square
2
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
The determinant of the matrix $$\left[ {\matrix{ 1 & 0 & 0 & 0 \cr {100} & 1 & 0 & 0 \cr {100} & {200} & 1 & 0 \cr {100} & {200} & {300} & 1 \cr } } \right]$$ is
A
$$100$$
B
$$200$$
C
$$1$$
D
$$300$$
3
GATE EE 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$A = \left[ {\matrix{ 1 & { - 2} & { - 1} \cr 2 & 3 & 1 \cr 0 & 5 & { - 2} \cr } } \right]$$ and $$adj (A)$$ $$ = \left[ {\matrix{ { - 11} & { - 9} & 1 \cr 4 & { - 2} & { - 3} \cr {10} & k & 7 \cr } } \right]$$ then $$k=$$
A
$$-5$$
B
$$3$$
C
$$-3$$
D
$$5$$
4
GATE EE 1999
Subjective
+1
-0
Find the eigen values and eigen vectors of the matrix $$\left[ {\matrix{ 3 & { - 1} \cr { - 1} & 3 \cr } } \right]$$
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