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

 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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