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Probability and Statistics
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Complex Variable
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Linear Algebra
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1
GATE CE 2017 Set 2
MCQ (Single Correct Answer)
+2
-0.6
If $$A = \left[ {\matrix{ 1 & 5 \cr 6 & 2 \cr } } \right]\,\,and\,\,B = \left[ {\matrix{ 3 & 7 \cr 8 & 4 \cr } } \right]A{B^T}$$ is equal to
A
$$\left[ {\matrix{ {38} & {28} \cr {32} & {56} \cr } } \right]$$
B
$$\left[ {\matrix{ 3 & {40} \cr {42} & 8 \cr } } \right]$$
C
$$\left[ {\matrix{ {43} & {27} \cr {34} & {50} \cr } } \right]$$
D
$$\left[ {\matrix{ {38} & {32} \cr {28} & {56} \cr } } \right]$$
2
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the matrix $$\left[ {\matrix{ 5 & { - 1} \cr 4 & 1 \cr } } \right].$$ Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix?
A
Eigenvalue $$3$$ has a multiplicity of $$2,$$ and only one independent eigenvector exists.
B
Eigenvalue $$3$$ has a multiplicity of $$2,$$ and two independent eigen vectors exist.
C
Eigenvalue $$3$$ has a multiplicity of $$2,$$ and no independent eigen vector exists
D
Eigenvalues are $$3$$ and $$-3,$$ and two independent eigenvectors exist
3
GATE CE 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the following linear system $$$x+2y-3z=a$$$ $$$2x+3y+3z=b$$$ $$$5x+9y-6z=c$$$
This system is consistent if $$a,b$$ and $$c$$ satisfy the equation
A
$$7a - b - c = 0$$
B
$$3a + b - c = 0$$
C
$$3a - b + c = 0$$
D
$$7a - b + c = 0$$
4
GATE CE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The smallest and largest Eigen values of the
following matrix are : $$\left[ {\matrix{ 3 & { - 2} & 2 \cr 4 & { - 4} & 6 \cr 2 & { - 3} & 5 \cr } } \right]$$
A
$$1.5$$ and $$2.5$$
B
$$0.5$$ and $$2.5$$
C
$$1.0$$ and $$3.0$$
D
$$1.0$$ and $$2.0$$
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Questions Asked from Marks 2
GATE CE 2025 Set 2 (1) GATE CE 2024 Set 2 (1) GATE CE 2024 Set 1 (1) GATE CE 2023 Set 2 (2) GATE CE 2023 Set 1 (1) GATE CE 2017 Set 2 (1) GATE CE 2017 Set 1 (1) GATE CE 2016 Set 2 (1) GATE CE 2015 Set 1 (1) GATE CE 2015 Set 2 (1) GATE CE 2013 (1) GATE CE 2010 (1) GATE CE 2007 (3) GATE CE 2006 (1)
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude