Electrical Engineering
2022 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE EE 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.
Question 40
Open questionEEMCQ2 marksNeeds review
denotes the exponential of a square matrix
. Suppose
is an eigenvalue and
is the corresponding eigen-vector of matrix
. Consider the following two statements: Statement 1:
is an eigenvalue of
. Statement 2:
is an eigen-vector of
. Which one of the following options is correct?Your answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
Let
. Then
decreases in the intervalYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 42
Open questionEEMCQ2 marksNeeds review
Consider a matrix
. The matrix
satisfies the equation
, where
and
are scalars and
is the identity matrix. Then
is equal toYour answerChoose one option.
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