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Question -

Evaluate thedeterminants



Answer -

(i)  (iii) 

(ii)  (iv) 

Solution

(i) Let

It can be observed thatin the second row, two entries are zero. Thus, we expand along the second rowfor easier calculation.

(ii) Let

By expanding along thefirst row, we have:

(iii) Let

By expanding along thefirst row, we have:

(iv) Let

By expanding along thefirst column, we have:

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