Let A be 3x3 matrix such that AA=I and |A|=I, find the value of |A-I|

HI AKASH, BY T I MEAN TRANSPOSE LIKE AT = TRANSPOSE OF A det (A-I) = det(A-I) . detAT because (det A = det AT = 1) = det(A.AT - AT) because (det AB = det A.detB) = det(I - AT)= - det (AT -I) = -det (A-I)T = -det(A-I) because I = I T AND (X+Y)T = XT + YT = det (A-I) = 0 SUNIL KUMAR IIT K askiitians faculty

|A-I|^2=|A|^2-2|A|+1=0 since |A|=1
Thanks and Regards,
M.MURALIKRISHNA
askIITians faculty