Answer The fellowing in mst 2heral i)- A ad B Waly ? dbe NxN matrices - A has oh eigenvalue d chd B hass ch eigen Vlue ß.Lhder what conditions will aß be ch eigen Value of AB, chd dte be oh ee Value of AtB? the Conditions i). ahat E disie [dN]} ti fabra a bouis forr en N-dimeneionad alte for set f vectas dde vedtor space? what will methed of Frobenius 4ield two lineady inlebadat solutions to a and order DEquetion ? iv)- Uhder uhat condi tions will a linear fherator finction sbace be Heometion ? d. V). what die Conditions on Ag B chd c for on ODE to have slutons of form of fabam Ay'+By! +cy=o l chese h is cormstont 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Date.
4. Amswer The folowing in most aneral wa4 P
i)- A nd B abe NXN matices-A hoas ch eigenvale
d chol
B hals ch eigen value $.Chder what Conditions
will aB be
oh eigen Vakue of ABs chd atB be on
ee Value of AtB?
i). what are
the Conditons
for d
set f vedtors
E disie [4N]} to fabm a bouis for an N-dimGrsional
vedor space?
what will methed of
Frobenius yield tiwo lineardy
inlebadant
solutions to a and order DEquetion?
iv)-
Uhder uhat conditions will a
lenear derator
finction sbace be Heomtion ?
d
V).
what
dse Condi tions n AB ohd C for on ODE
of form
of fabm
to ha ve
solutions
2.
uhese h is cormstont 2
Transcribed Image Text:Date. 4. Amswer The folowing in most aneral wa4 P i)- A nd B abe NXN matices-A hoas ch eigenvale d chol B hals ch eigen value $.Chder what Conditions will aB be oh eigen Vakue of ABs chd atB be on ee Value of AtB? i). what are the Conditons for d set f vedtors E disie [4N]} to fabm a bouis for an N-dimGrsional vedor space? what will methed of Frobenius yield tiwo lineardy inlebadant solutions to a and order DEquetion? iv)- Uhder uhat conditions will a lenear derator finction sbace be Heomtion ? d V). what dse Condi tions n AB ohd C for on ODE of form of fabm to ha ve solutions 2. uhese h is cormstont 2
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