Question 3688 - GATE Electrical Engineering

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Q#1 Linear Algebra GATE EE 2015 MCQ +1 mark -0.33 marks

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We have a set of 3 linear equations in 3 unknowns. ‘X = Y’ means X and Y are equivalent statements and means X and Y are not equivalent statements.

P. There is a unique solution.

Q. The equations are linearly independent.

R. All Eigen values of the coefficient matrix are nonzero.

S. The determinant of the coefficient matrix is nonzero.

Which one of the following is TRUE?

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Network Analysis

259

Network Basics

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Network Theorems (DC Circuits)

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Maximum Power Transfer Theorem - AC Circuits	0	Browse
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Power in AC Circuits	0	Browse
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Two Port Network

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Signals

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Periodic and other Signals	0	Browse
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LTI Systems

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Laplace Transform

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Z Transform

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Sampling

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Transfer Function

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Block Diagram	0	Browse
Signal Flow Graph	0	Browse
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Time Response Analysis

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Frequency Domain Analysis

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Diode and Its Applications

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BJT

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JFET

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MOSFET

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Electrical Machines

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109

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Induced EMF - Transformer	0	Browse
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EMF and Torque Equation	0	Browse
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Chopper

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EMFT EE

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Calculus

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Differential Calculus	0	Browse
Integral Calculus	0	Browse
Vector Calculus	0	Browse
Topic-wide	63	Browse

Differential Equations

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First Order Differential Equations	0	Browse
Higher Order Differential Equations	0	Browse
Topic-wide	18	Browse

Complex Functions

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Analytic Functions (Cauchy Riemann Equations) and compex numbers	0	Browse
Complex Integral	0	Browse
Topic-wide	23	Browse

Probability and Statistics

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Probability	0	Browse
Statistics	0	Browse
Random Variable	0	Browse
Topic-wide	32	Browse

Numerical Methods

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Solution of Non-Linear Equation	0	Browse
Numerical Integration	0	Browse
Numerical Solution of Differential Equations	0	Browse
Topic-wide	15	Browse

Transform Theory

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Laplace Transform	0	Browse
Fourier Transform	0	Browse
Z-Transform	0	Browse
Topic-wide	6	Browse

General Aptitude

206

Numerical Ability

116

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Analytical Reasoning	0	Browse
Logical Reasoning	0	Browse
Progressions	0	Browse
Numbers	0	Browse
Clocks and Time Sequence	0	Browse
LCM and HCF, Factors and Remainders	0	Browse
Simple and Compound Interest	0	Browse
Venn Diagrams	0	Browse
Direction Sense	0	Browse
Arithmetic Reasoning	0	Browse
Insert Missing Character	0	Browse
Ratio and Proportion	0	Browse
Percentage, Profit, Loss and Partnerships	0	Browse
Stocks and Shares	0	Browse
Average, Mixtures and Allegations	0	Browse
Geometry and Mensuration	0	Browse
Ages	0	Browse
Time and Work	0	Browse
Pipes and Cisterns	0	Browse
Time and Distance	0	Browse
Data Interpretation	0	Browse
Analytical Figures	0	Browse
Blood Relations	0	Browse
Coding and Decoding	0	Browse
Cube and Dice	0	Browse
Ranking	0	Browse
Speed and Relative Speed	0	Browse
Logarithms	0	Browse
Involution and Evolution	0	Browse
Probability	0	Browse
Permutation and Combinations	0	Browse
Quadratic Equations	0	Browse
Miscellaneous - Numerical Ability	0	Browse
Topic-wide	116	Browse

Verbal Ability

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Grammar	0	Browse
Spotting Errors	0	Browse
Objective Comprehension	0	Browse
Sentence Completion	0	Browse
Sentence Improvement	0	Browse
Analogy	0	Browse
Ordering of Sentences	0	Browse
Vocabulary	0	Browse
Critical Reasoning	0	Browse
Miscellaneous - Verbal Ability	0	Browse
Topic-wide	90	Browse