nilpotent matrix

JEE Mains 2015 Discussion Forum › Algebra questions › nilpotent matrix

Which of these definitions is correct.
ML khanna says
a square matrix is called nilpotent matrix if A^k=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 A^k=O,A^k-1â‰ O,where 'k' is positive integer,O is null matrix & 'k' is order of nilpotent matrix A

#Mathematics #Algebra

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4 Answers

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Subhomoy Bakshi ·2011-04-26 07:14:10

both means same...

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s4m4n ·2011-04-26 09:14:12

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

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Subhomoy Bakshi ·2011-04-26 12:07:19

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

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s4m4n ·2011-04-27 01:37:16

i didnt get u,pls elaborate?

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Basic Integral Calculus Operators Symbols Matrix Cases

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