GATE Electrical Engineering (EE) 2022 Solved Paper

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Question : 41 of 65
 
Marks: +1, -0
eA denotes the exponential of a square matrix A. Suppose λ is an eigenvalue and ν is the corresponding eigen-vector of matrix A.
Consider the following two statements:
Statement 1: eλ is an eigenvalue of eA.
Statement 2: ν is an eigen-vector of eA
Which one of the following options is correct? 
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