Question 3705 - GATE Electrical Engineering

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Q#1 Linear Algebra GATE EE 2022 MCQ +2 marks -0.66 marks

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denotes the exponential of a square matrix . Suppose is an eigen value and is the corresponding eigen-vector of matrix .

Consider the following two statements:

Statement 1: is an eigen value of .

Statement 2: is an eigen-vector of .

Which one of the following options is correct?

Statement 1 is true and statement 2 is false.

Statement 1 is false and statement 2 is true.

Both the statements are correct.

Both the statements are false.

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Topic-wide	68	Browse

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