1
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
Let $$A$$ be an $$m\,\, \times \,\,n$$ matrix and $$B$$ an $$n\,\, \times \,\,m$$ matrix. It is given that determinant $$\left( {{{\rm I}_m} + AB} \right) = $$determinant $$\left( {{{\rm I}_n} + BA} \right),$$ where $${{{\rm I}_k}}$$ is the $$k \times k$$ identity matrix. Using the above property, the determinant of the matrix given below is $$\left[ {\matrix{
2 & 1 & 1 & 1 \cr
1 & 2 & 1 & 1 \cr
1 & 1 & 2 & 1 \cr
1 & 1 & 1 & 2 \cr
} } \right]$$
2
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
Given that $$A = \left[ {\matrix{
{ - 5} & { - 3} \cr
2 & 0 \cr
} } \right]$$ and $${\rm I} = \left[ {\matrix{
1 & 0 \cr
0 & 1 \cr
} } \right],$$ the value of $${A^3}$$ is
3
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The system of equations $$x+y+z=6,$$ $$x+4y+6z=20,$$ $$x + 4y + \lambda z = \mu $$ has no solution for values of $$\lambda $$ and $$\mu $$ given by
4
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of a skew-symmetric matrix are
Questions Asked from Linear Algebra (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2024 (1)
GATE ECE 2023 (1)
GATE ECE 2022 (1)
GATE ECE 2018 (2)
GATE ECE 2017 Set 1 (2)
GATE ECE 2016 Set 2 (1)
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GATE ECE 2016 Set 3 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (2)
GATE ECE 2015 Set 3 (1)
GATE ECE 2014 Set 3 (1)
GATE ECE 2014 Set 2 (3)
GATE ECE 2014 Set 1 (3)
GATE ECE 2013 (2)
GATE ECE 2012 (1)
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GATE ECE 2010 (1)
GATE ECE 2008 (2)
GATE ECE 2006 (2)
GATE ECE 2000 (1)
GATE ECE 1998 (1)
GATE ECE 1994 (2)
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