1
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
If the vectors $${e_1} = \left( {1,0,2} \right),\,{e_2} = \left( {0,1,0} \right)$$ and $${e_3} = \left( { - 2,0,1} \right)$$ form an orthogonal basis of the three dimensional real space $${R^3},$$ then the vectors $$u = \left( {4,3, - 3} \right) \in {R^3}$$ can be expressed as
2
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
3
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
4
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
Given an orthogonal matrix $$A = \left[ {\matrix{
1 & 1 & 1 & 1 \cr
1 & 1 & { - 1} & { - 1} \cr
1 & { - 1} & 0 & 0 \cr
0 & 0 & 1 & { - 1} \cr
} } \right]$$ then the value of $${\left( {A{A^T}} \right)^{ - 1}}$$ is
Questions Asked from Linear Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Electromagnetics
General Aptitude