1
GATE ECE 2016 Set 2
Numerical
+2
-0
The matrix $$A = \left[ {\matrix{
a & 0 & 3 & 7 \cr
2 & 5 & 1 & 3 \cr
0 & 0 & 2 & 4 \cr
0 & 0 & 0 & b \cr
} } \right]$$ has det
$$(A)=100$$ and trace $$(A)=14.$$ The value of $$\left| {a - b} \right|$$ is ___________.
$$(A)=100$$ and trace $$(A)=14.$$ The value of $$\left| {a - b} \right|$$ is ___________.
Your input ____
2
GATE ECE 2016 Set 1
Numerical
+2
-0
A sequence $$x\left[ n \right]$$ is specified as
$$$\left[ {\matrix{
{x\left[ n \right]} \cr
{x\left[ {n - 1} \right]} \cr
} } \right] = {\left[ {\matrix{
1 & 1 \cr
1 & 0 \cr
} } \right]^n}\left[ {\matrix{
1 \cr
0 \cr
} } \right],\,\,for\,\,n \ge 2.$$$
The initial conditions are $$x\left[ 0 \right] = 1,\,\,x\left[ 1 \right] = 1$$ and $$x\left[ n \right] = 0$$ for $$n < 0.$$ The value of $$x\left[ {12} \right]$$ is __________.
The initial conditions are $$x\left[ 0 \right] = 1,\,\,x\left[ 1 \right] = 1$$ and $$x\left[ n \right] = 0$$ for $$n < 0.$$ The value of $$x\left[ {12} \right]$$ is __________.
Your input ____
3
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The eigen values of the following matrix $$\left[ {\matrix{
{ - 1} & 3 & 5 \cr
{ - 3} & { - 1} & 6 \cr
0 & 0 & 3 \cr
} } \right]$$ are
4
GATE ECE 2006
MCQ (Single Correct Answer)
+2
-0.6
The eigen values and the correspondinng eigen vectors of a $$2 \times 2$$ matrix are given by
Eigen value
$${\lambda _1} = 8$$
$${\lambda _2} = 4$$
Eigen vector
$${V_1} = \left[ {\matrix{
1 \cr
1 \cr
} } \right]$$
$${V_2} = \left[ {\matrix{
1 \cr
-1 \cr
} } \right]$$
The matrix is
Questions Asked from Linear Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series
Fourier Transform
Continuous Time Signal Laplace Transform
Discrete Time Signal Fourier Series Fourier Transform
Discrete Fourier Transform and Fast Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Discrete Time Linear Time Invariant Systems
Transmission of Signal Through Continuous Time LTI Systems
Sampling
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics