1. If A,i = 7, A‚ỹ = aỹ and ỹ = A;'š thena) A, is similar to A3c) Aj and A2 share the same eigenvectord) Aj and A3 share the same eigenvalue e) Aj and A2 are similarb) Az is similar to A32. Which sentence is FALSE?A 2x2 real matrix has two eigenvalues –1 and 1b. A 2x2 real symmetric matrix has eigenvalues 1 and -1c. A 2x2 real matrix has eigenvalues 1+j and 1-2jd. A 2x2 real matrix has eigenvalues 3+j5 and 3-j5e. None of the abovea.

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1. If A,ï = 17 , A,ỹ = lỹ and ỹ = A;'i then a) A, is similar to A3 c) Aj and A2 share the same eigenvector d) A, and Ag share the same eigenvalue e) A and A2 are similar b) Az is similar to A3

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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Question

1. If A,i = 7, A‚ỹ = aỹ and ỹ = A;'š then
a) A, is similar to A3
c) Aj and A2 share the same eigenvector
d) Aj and A3 share the same eigenvalue e) Aj and A2 are similar
b) Az is similar to A3
2. Which sentence is FALSE?
A 2x2 real matrix has two eigenvalues –1 and 1
b. A 2x2 real symmetric matrix has eigenvalues 1 and -1
c. A 2x2 real matrix has eigenvalues 1+j and 1-2j
d. A 2x2 real matrix has eigenvalues 3+j5 and 3-j5
e. None of the above
a.

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