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question mark

Let A be 3x3 matrix such that AA=I and |A|=I, find the value of |A-I|
*( means transpose)
 PLZ REPLY SOON...................
                   

SKS , 12 Years ago
Grade 12th pass
anser 1 Answers
Sunil Kumar
HI SKS, 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
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Last Activity: 12 Years ago
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