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(7) If A is invertible and 2 is an eigenvalue of A, which has an eigenvalue A¯1? а 1 1 (8) ) Examine the matrix A =( 1 a 1). For which values a is the matrix A positively defined? 1 1 a

(7) If A is invertible and 2 is an eigenvalue of A, which has an eigenvalue A¯1? а 1 1 (8) ) Examine the matrix A =( 1 a 1). For which values a is the matrix A positively defined? 1 1 a

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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(7) If A is invertible and 2 is an eigenvalue of A, which has an eigenvalue A~1? а 1 1 (8) ) Examine the matrix A = ( 1 a 1 ). For which values a is the matrix A positively defined? 1 1 а
Transcribed Image Text:(7) If A is invertible and 2 is an eigenvalue of A, which has an eigenvalue A~1? а 1 1 (8) ) Examine the matrix A = ( 1 a 1 ). For which values a is the matrix A positively defined? 1 1 а
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