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Let A be a 6xó matrix with the characteristic equation 1?(1 - 7)(A - 12)3 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0: Ds 2 For A = 7:D = 1 For A = 12: Ds3 O For A = 0: Ds6 For A = 7:Ds6 For A = 12: Ds6 O For A = 0: D s0 For A = 7: Ds7 For A = 12: Ds 12 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: D < 2 For A = 7: D< 1 For A = 12: D < 3

Let A be a 6xó matrix with the characteristic equation 1?(1 - 7)(A - 12)3 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) O For A = 0: Ds 2 For A = 7:D = 1 For A = 12: Ds3 O For A = 0: Ds6 For A = 7:Ds6 For A = 12: Ds6 O For A = 0: D s0 For A = 7: Ds7 For A = 12: Ds 12 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: D < 2 For A = 7: D< 1 For A = 12: D < 3

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 6x6 matrix with the characteristic equation 1?(A - 7)(U - 12)3 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) For A = 0: Ds2 For A = 7:D = 1 For A = 12: Ds3 For A = 0: D<6 For A = 7: Ds 6 For A = 12:Ds 6 O For A = 0: Ds0 For A = 7: D<7 For A = 12: D<12 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: D< 2 For A = 7:D< 1 For A = 12: D < 3
Transcribed Image Text:Let A be a 6x6 matrix with the characteristic equation 1?(A - 7)(U - 12)3 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) For A = 0: Ds2 For A = 7:D = 1 For A = 12: Ds3 For A = 0: D<6 For A = 7: Ds 6 For A = 12:Ds 6 O For A = 0: Ds0 For A = 7: D<7 For A = 12: D<12 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: D< 2 For A = 7:D< 1 For A = 12: D < 3
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