nilpotent matrix

Which of these definitions is correct.
ML khanna says
a square matrix is called nilpotent matrix if Ak=O,where 'k' is a positive integer,smallest value of k is called index of nilpotent matrix

SK goyal in Arihant algebra says
a square matrix A is called nilpotent matrix of order 'm' if Ak=O,Ak-1≠O,where 'k' is positive integer,O is null matrix & 'k' is order of nilpotent matrix A

4 Answers

49
Subhomoy Bakshi ·

both means same...

1
s4m4n ·

in 2nd definition it says that k is order of matrix but its not mentioned in 1st one :\

49
Subhomoy Bakshi ·

second says order is any arbitrary m... independent of k... [1]

1
s4m4n ·

i didnt get u,pls elaborate?

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