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Let A=[a(ij)](n xxn) be a square matrix ...

Let `A=[a_(ij)]_(n xxn)` be a square matrix and let `c_(ij)` be cofactor of `a_(ij)` in A. If C=`[C_(ij)]` , then

A

`absC=absA`

B

`absC=absA^(n-1)`

C

`absC=absA^(n-2)`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
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  6. Let A be a matrix of rank r. Then,

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  7. Let A=[a(ij)](mxxn) be a matrix such that a(ij)=1 for all I,j. Then ,

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  8. If A is a non-zero column matrix of order mxx1 and B is a non-zero row...

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  9. The rank of the matrix {:[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,5)]:}, ...

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  10. If A is an invertible matrix, then "det" (A -1) is equal to

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  11. If A and B are two matrices such that rank of A = m and rank of B = n...

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  13. Let A=[a0 0 0a0 0 0a] , then A^n is equal to [a^n0 0 0a^n0 0 0a] (b) [...

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  14. If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim(x>oo)1/nA^n i...

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  16. If A=[{:(,1,a),(,0,1):}] then find underset(n-oo)(lim)(1)/(n)A^(n)

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  18. If {:A=[(1,0),(k,1)]andB=[(0,0),(k,0)]:} such that A^100-I=lambdaB," ...

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