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1
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33

In the figure, the vectors u and v are related as : Au = v by a transformation matrix A. The correct choice of A is

GATE EE 2023 Engineering Mathematics - Linear Algebra Question 7 English

A
$$\left[ {\matrix{ {{4 \over 5}} & {{3 \over 5}} \cr { - {3 \over 5}} & {{4 \over 5}} \cr } } \right]$$
B
$$\left[ {\matrix{ {{4 \over 5}} & { - {3 \over 5}} \cr {{3 \over 5}} & {{4 \over 5}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{4 \over 5}} & {{3 \over 5}} \cr {{3 \over 5}} & {{4 \over 5}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{4 \over 5}} & { - {3 \over 5}} \cr {{3 \over 5}} & { - {4 \over 5}} \cr } } \right]$$
2
GATE EE 2022
MCQ (Single Correct Answer)
+1
-0.33

Consider a 3 $$\times$$ 3 matrix A whose (i, j)-th element, ai,j = (i $$-$$ j)3. Then the matrix A will be

A
symmetric
B
skew-symmetric
C
unitary
D
null
3
GATE EE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The matrix $$A = \left[ {\matrix{ {{3 \over 2}} & 0 & {{1 \over 2}} \cr 0 & { - 1} & 0 \cr {{1 \over 2}} & 0 & {{3 \over 2}} \cr } } \right]$$ has three distinct eigen values and one of its eigen vectors is $$\left[ {\matrix{ 1 \cr 0 \cr 1 \cr } } \right].$$ Which one of the following can be another eigen vector of $$A$$?
A
$$\left[ {\matrix{ 0 \cr 0 \cr { - 1} \cr } } \right]$$
B
$$\left[ {\matrix{ { - 1} \cr 0 \cr 0 \cr } } \right]$$
C
$$\left[ {\matrix{ 1 \cr 0 \cr { - 1} \cr } } \right]$$
D
$$\left[ {\matrix{ 1 \cr { - 1} \cr 1 \cr } } \right]$$
4
GATE EE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
$$A$$ $$3 \times 3$$ matrix $$P$$ is such that , $${p^3} = P.$$ Then the eigen values of $$P$$ are
A
$$1,1,-1$$
B
$$1,0.5+j0.866,0.5-j0.866$$
C
$$1,-0.5+j0.866,-05-j0.866$$
D
$$0,1,-1$$
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Questions Asked from Marks 1
GATE EE 2025 (4) GATE EE 2024 (2) GATE EE 2023 (2) GATE EE 2022 (1) GATE EE 2017 Set 1 (1) GATE EE 2016 Set 2 (1) GATE EE 2016 Set 1 (1) GATE EE 2015 Set 1 (1) GATE EE 2015 Set 2 (1) GATE EE 2014 Set 2 (1) GATE EE 2014 Set 1 (1) GATE EE 2012 (1) GATE EE 2010 (1) GATE EE 2009 (1) GATE EE 2008 (2) GATE EE 2007 (1) GATE EE 2005 (1) GATE EE 2002 (1) GATE EE 1999 (2) GATE EE 1998 (4) GATE EE 1997 (1) GATE EE 1995 (3) GATE EE 1994 (3)
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