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1 A 1 - - ( ¦ 9) - - 6 ¦ ) - - ( ) -- ( ² ) B 0 1 1 1 2 D 2 -1 2/ 002/ 1 -1 02 b) Which ones among the matrices above are diagonalisable over R? c) For those which are not diagonalisable, determine the Jordan form. d) Among the matrices A, B, C, D are any two similar?

1 A 1 - - ( ¦ 9) - - 6 ¦ ) - - ( ) -- ( ² ) B 0 1 1 1 2 D 2 -1 2/ 002/ 1 -1 02 b) Which ones among the matrices above are diagonalisable over R? c) For those which are not diagonalisable, determine the Jordan form. d) Among the matrices A, B, C, D are any two similar?

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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Exercise 4.6 Consider the following matrices /1 1 0 0 ^ - ( 1 )) - - ( : )) ∞ - ( 1 ) - - ( ² ) A = 1 1 B = 0 1 1 C = 2 D= 1 20 3 -1 2 0 0 -1 2 1 02 b) Which ones among the matrices above are diagonalisable over R? c) For those which are not diagonalisable, determine the Jordan form. d) Among the matrices A, B, C, D are any two similar?
Transcribed Image Text:Exercise 4.6 Consider the following matrices /1 1 0 0 ^ - ( 1 )) - - ( : )) ∞ - ( 1 ) - - ( ² ) A = 1 1 B = 0 1 1 C = 2 D= 1 20 3 -1 2 0 0 -1 2 1 02 b) Which ones among the matrices above are diagonalisable over R? c) For those which are not diagonalisable, determine the Jordan form. d) Among the matrices A, B, C, D are any two similar?
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