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If A and B are non-singular square matri...

If `A` and `B` are non-singular square matrices of same order then `adj(AB)` is equal to

A

(adj A) (adjB)

B

(adj B) (adj A)

C

adj (BA)

D

adj A+adj B

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The correct Answer is:
B
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FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)
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  2. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

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  6. If A and B are symmetric matrices of order n(A!=B) then (A) A+B is ske...

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  10. If Aa n dB are square matrices of the same order and A is non-singular...

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  11. The inverse of a skew symmetric matrix is

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  12. If [{:( 1,2,3),(1,3,5),(1,5,12):}] then adj (adj A) is

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  14. If A =[{:( alpha , a ),( beta , b),( gamma, c):}] then (A)A^(T) is

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  15. If A and B are non-singular square matrices of same order then adj(AB)...

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  19. Statement -1 :if A = [a(ij) ](nxxn) and a(ij) =( i^(2) +j^(2) -ij) (I...

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  20. Statement 1: F a,b,c are real positive numbers with abc =1 and AA^(T) ...

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