prove A4=1 calculate A2 n find A4
If we are given a 3 X 3 matrix(A) and we are asked to prove A5=A how should i proceed.. it will take a very long time to calculate A5,,so pls suggest
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8 Answers
Celestine preetham
·2009-04-28 21:52:32
richa i think u meant prove
A2= I
but can u tell me is it necessary that
A4=I
for A5=A ??????
Pavithra Ramamoorthy
·2009-04-28 22:15:34
@celestine...
i think its of course neccessary dat A4=I for A5=A
Gone..
·2009-04-29 06:26:53
ya even i think thats necessary.. 1st prove A2=I,, then A4=I.. what other way is there celestine ??
Celestine preetham
·2009-04-29 06:40:27
nope its not necessary
be very clear with these funda
see
A5=A
premultiplying with A-1
A4= I iff A-1 exists
ie |A|≠0
else its not necessary
take a trivial example of A=O
here A5=A but A4≠I