Let A be a 7x7 matrix with the characteristic equation ita - 6)(A - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) For A = 0: Ds0 For À = 6: D<6 For A = 15:Ds 15 O The possible dimensions for eigenspaces of A cannot be determined. O For A = 0: D< 4 For A = 6: D< 1 For A = 15:D < 2 O For A = 0: D s7 For A = 6: Ds7 For A = 15:Ds7 O For A = 0: D s4 For A = 6: D = 1 For A = 15:Ds2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A be a 7x7 matrix with the characteristic equation
14u - 6)(A - 15)2
What are the possible dimensions for eigenspaces of A? (dimension is denoted as D)
For A = 0: D<0
For A = 6: D<6
For A = 15:Ds 15
The possible dimensions for eigenspaces of A cannot be determined.
O For A = 0:D < 4
For A = 6: D < 1
For A = 15: D < 2
O For A = 0:Ds7
For A = 6: D<7
For A = 15:Ds7
For A = 0:D<4
For A = 6: D = 1
For A = 15:Ds2
Transcribed Image Text:Let A be a 7x7 matrix with the characteristic equation 14u - 6)(A - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D) For A = 0: D<0 For A = 6: D<6 For A = 15:Ds 15 The possible dimensions for eigenspaces of A cannot be determined. O For A = 0:D < 4 For A = 6: D < 1 For A = 15: D < 2 O For A = 0:Ds7 For A = 6: D<7 For A = 15:Ds7 For A = 0:D<4 For A = 6: D = 1 For A = 15:Ds2
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