Electrical Engineering > GATE 2022 > Linear Algebra
eA denotes the exponential of a square matrix A. Suppose λ is an eigenvalue and v is the corresponding eigen-vector of matrix A. Consider the following two statements:
Statement 1: eλ is an eigenvalue of eA.
Statement 2: v is an eigen-vector of eA.
Which one of the following options is correct?
A
Statement 1 is true and statement 2 is false.
B
Statement 1 is false and statement 2 is true.
C
Both the statements are correct.
D
Both the statements are false.

Correct : c

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matrix exponential eigenvalue matrix GATE Electrical Engineering 2022 electrical engineering gate matrix exponential properties eigenvalue matrix exponential eigenvalue false eigenvalue true

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