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Questions  

If D=diagd1,d2,d3,,dn, where di0 for all i =1,2,.. n,  then D-1 is equal to

a
D
b
diag⁡d1−1,d2−1,…,dn−1
c
In
d
None of these

detailed solution

Correct option is B

D=diagd1,d2,d3,…,dn, D=d1d2d3...…dn AdjD=diagd2d3...…dn,d1d3...…dn,.........,d1d2d3...…dn-1 D-1=AdjDD=diagd1−1,d2−1,…,dn−1

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