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if n is a positive integer and A=[(a,0,0...

if n is a positive integer and `A=[(a,0,0),(0,b,0),(0,0,c)]` then `A^(n)` is

A

`((0,0,a^(n)),(0,b^(n),0),(c^(n),0,0))`

B

`((a^(n),0,0),(0,b^(n),0),(0,0,c^(n)))`

C

0

D

I

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES - EXERCISE - II
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  6. If A^(2)=2A-I then for n!=2,A^(n)=

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  10. IF A=[{:(2,4),(-1,k):}] and A^2=0 then find the value of k

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  11. A=[(1+i,2-3i,4),(7+2i,-i,3-2i)] then the conjugate of A is

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  15. If A=[a(ij)] is a skew symmetric matrix of order 'n' then suma(ii)=

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  19. Statement - I If A=[(x,1),(1,0)] is an Involutory matrix then x=0 St...

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