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Let M be a 3times3 orthogonal matrix.Let A be the 2times2 matrix in the upp

Let M be a 3times3 orthogonal matrix.Let A be the 2times2 matrix in the upper-left corner of M and let B be the 1times1 matrix in the lower-right corner of M.Let M_(1) be the 3times3 matrix whose first 2 columns are the first 2 columns of M and whose remaining 1 column is the least column of I_(3).Let M_(2) be the matrix whose first 2 columns are identical to I_(3) and the last 1 column those of M.Which of the following is incorrect? A MM_(2)=M_(1) B M^(TT)M_(2)=M_(1) C |det(M_(1))|=|det(M_(2))| D |det(M_(1))|=|det(B)|

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