Question 7(10 marks,C3)Given a positive integer n,let0000a1,n000a2.n-1a2,n00a3.n-2a3.n-1a3,nAn=:…::0an-1,2·.·an-1,n-2an-1,n-1an-1,nAn,1an,2·.·an,n-2an.n-1an,nwhose ai.;entries with i+j≤n are all equal to 0.Conjecture a formula for det(An)and proveit.
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