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Problem 6. (a) If A² = I, what are the possible eigenvalues of A? (b) If this A is 2 by 2, and not I or -I, find its trace and determinant. (c) If the first row is (3,-1), what is the second row?

Problem 6. (a) If A² = I, what are the possible eigenvalues of A? (b) If this A is 2 by 2, and not I or -I, find its trace and determinant. (c) If the first row is (3,-1), what is the second row?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 6.** (a) If \( A^2 = I \), what are the possible eigenvalues of \( A \)? (b) If this \( A \) is 2 by 2, and not \( I \) or \(-I\), find its trace and determinant. (c) If the first row is \( (3, -1) \), what is the second row?
Transcribed Image Text:**Problem 6.** (a) If \( A^2 = I \), what are the possible eigenvalues of \( A \)? (b) If this \( A \) is 2 by 2, and not \( I \) or \(-I\), find its trace and determinant. (c) If the first row is \( (3, -1) \), what is the second row?
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