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KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0If I'm correct about what a minor is, the minor of \(A_{22}\) would be the determinant of the matrix if you removed the second row and second column. In other words, the minor of \(A_{22}\) would then be \[(1*9)(3*7) = 921=12\]

suju101
 2 years ago
Best ResponseYou've already chosen the best response.0are minor and cofactor same thing??

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.0Close, but not quite. To get the cofactor, you would then have to multiply your minor by \((1)^{i+j}\) where \(i, j\) are the indices of the row and column you're removing. In your case, they're both 2, so the cofactor would be \[(1)^{2+2} * (12) = (1)^4 *(12) = 1*(12)=12\]which is indeed the minor, but this is not always the case.
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