Give example or show that this thing doesn't exist a. A 3x3 real matrix with exactly one complex eigenvalues atbi with b ±0 b. A linear transformation whose domain is IR² and whose Kernel is the line x +y = 1 rank 2, diagonalizable, 3 x3 matrix that is not C. diagonal itself

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Give example
or show that this thing doesn't exist
a. A 3x3 real matrix with exactly one complex eigenvalues
a tbi with b ±0
b. A linear transformation whose domain is R² and whose
is the line x +y = 1
Kernel
C.
A rank 2, diagonalizable, 3 x3 matrix that is not
diagonal itself
CS Scanned with CamScanner
Transcribed Image Text:Give example or show that this thing doesn't exist a. A 3x3 real matrix with exactly one complex eigenvalues a tbi with b ±0 b. A linear transformation whose domain is R² and whose is the line x +y = 1 Kernel C. A rank 2, diagonalizable, 3 x3 matrix that is not diagonal itself CS Scanned with CamScanner
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