Plz solve this ques no.56 Share with your friends Share 0 Gursheen Kaur answered this Dear Student, assuming your question to be "If A is a 3 X 3 invertible matrix, then what will be the value of k if det(A-1)=(det(A)k" Solution) det(A−1)=(detA)k ...(1)As, we know that A.A−1=Idet(A.A−1)=det(I)det(A).det(A−1)=det(I){because if A and B are square matrices of same order then det(AB)=det(A).det(B)}det(A−1)=1det(A){Using det(I)=1}det(A−1)=det(A)-1...(2)Therefore, from (1) and (2), we get,k=-1Regards! 0 View Full Answer
