in Linear Algebra
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1 vote
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Let A be n*n matrix,$A^{n}$ = $A^{n-1}$ for n>=1 and $A^{0}$=I,Which of following is true?

 

a.$A^{m}$ .$A^{n}$ =$A^{m+n}$

b. $($A^{m}$)^{n}$=$A^{mn}$$

c. both a and b

c none
in Linear Algebra
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4 Comments

Can you please tell again how are you saying this is non singular?
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because is non singular

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But what about other matrices ?How can i be sure that the set of these matrices is non singular?
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