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Question

If B0=433101443,Bn=adj(Bn1),nN and I is identity matrix of order 3. Then B1+B3+B5+B7+B9 is equal to

A
B0
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B
5B0
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C
25B0
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D
B0+5I
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Solution

The correct option is B 5B0
Given : B0=433101443
Finding the adjoint of the matrix, we get
adjB0=414304313TadjB0=433101443=B0
Now,
B1=adj(B0)=B0B2=adj (B1)=B0
Similarly,
Bn=B0 nNB1+B3+B5+B7+B9=5B0

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