ii). what { disie [4NI} to fobrm vedtor space ? set vectas a bauis for en N-dimeneional alte the conditons for d

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Dales.
1. Amswer The folowing in most genesal wrk ?
i)- A ad B
NXN matices A hous oh eigenvalue
olde
chd
B has ch eigenvalu e ß. hder what conditions
will aß be
ch ei en Vallue of AB, chd
be on
eige Value of AtB?
i). ahat
E disie [4NI} to fabm a bauis for on N-dimfnsional
the Condi tions fox d set f vedtas
dde
vedtor space?
t).
what will method of Frobenius yield tuwo lineardy
inleladat solutions to a and order DEyuthon ?
iv).
Uhder uhat conditions will a linear dherator
function sbace be Heome tion a
d
V).
what
dse Condi tions on AsB ond C for on ODE
of form , A4t By! +cy=0 to have solutions
of fabm
X uhete h is comatont ?
Transcribed Image Text:Dales. 1. Amswer The folowing in most genesal wrk ? i)- A ad B NXN matices A hous oh eigenvalue olde chd B has ch eigenvalu e ß. hder what conditions will aß be ch ei en Vallue of AB, chd be on eige Value of AtB? i). ahat E disie [4NI} to fabm a bauis for on N-dimfnsional the Condi tions fox d set f vedtas dde vedtor space? t). what will method of Frobenius yield tuwo lineardy inleladat solutions to a and order DEyuthon ? iv). Uhder uhat conditions will a linear dherator function sbace be Heome tion a d V). what dse Condi tions on AsB ond C for on ODE of form , A4t By! +cy=0 to have solutions of fabm X uhete h is comatont ?
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