Matrix

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

8 Answers

1
vector ·

prove A4=1 calculate A2 n find A4

11
Gone.. ·

u mean calc. A2 then do A2 X A2 then prove it to 1.

1
vector ·

ya

9
Celestine preetham ·

richa i think u meant prove

A2= I

but can u tell me is it necessary that
A4=I

for A5=A ??????

1
Pavithra Ramamoorthy ·

@celestine...

i think its of course neccessary dat A4=I for A5=A

11
Gone.. ·

ya even i think thats necessary.. 1st prove A2=I,, then A4=I.. what other way is there celestine ??

9
Celestine preetham ·

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

11
Gone.. ·

o ok..

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