Mathematics · Matrix Theory
Let eA denote the exponential of a square matrix A. Suppose λ is an eigenvalue and ν is the corresponding eigenvector of matrix A. Consider the following statements: Statement 1: eλ is an eigenvalue of eA. Statement 2: ν is an eigenvector of eA. Which one of the following options is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both the statements are false
- 2Both the statements are correct✓
- 3Statement 1 is false and statement 2 is true
- 4Statement 1 is true and statement 2 is false
Correct answer
Both the statements are correct
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