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Let A be a 7x7 matrix with the characteristic equation 1?1 - 16)(A - 7)4 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0: D < 2 For A = 16: D < 1 For A = 7:D< 4 For A = 0: Ds7 For A = 16: D<7 For A = 7:Ds7 O For A = 0: D< 2 For A = 16: D = 1 For A = 7:Ds4 The possible dimensions for eigenspaces of A cannot be determined. For A = 0: Ds0 For A = 16: Ds 16 For A = 7:Ds7

Let A be a 7x7 matrix with the characteristic equation 1?1 - 16)(A - 7)4 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0: D < 2 For A = 16: D < 1 For A = 7:D< 4 For A = 0: Ds7 For A = 16: D<7 For A = 7:Ds7 O For A = 0: D< 2 For A = 16: D = 1 For A = 7:Ds4 The possible dimensions for eigenspaces of A cannot be determined. For A = 0: Ds0 For A = 16: Ds 16 For A = 7:Ds7

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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Let A be a 7x7 matrix with the characteristic equation 12A - 16)(A - 7)4 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0:D < 2 For A = 16: D< 1 For A = 7:D< 4 For A = 0: Ds7 For A = 16: D<7 For A = 7:Ds7 O For A = 0: D< 2 For A = 16: D = 1 For A = 7:Ds4 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: Dso For A = 16: Ds 16 For A = 7:Ds7
Transcribed Image Text:Let A be a 7x7 matrix with the characteristic equation 12A - 16)(A - 7)4 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0:D < 2 For A = 16: D< 1 For A = 7:D< 4 For A = 0: Ds7 For A = 16: D<7 For A = 7:Ds7 O For A = 0: D< 2 For A = 16: D = 1 For A = 7:Ds4 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: Dso For A = 16: Ds 16 For A = 7:Ds7
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