複選題If there are two nxn matrices A, B and one scalar r,(A) det = det implies A = B.(B) det(rA+B) = rdet+det.(C) =detdet.(D) det = det where A and B are row equivalent matrices.(E)

複選題Which of the following statements about the determinant is true?(A) For any square matrix A, det = -det A.(B) The determinant of the n x n identity matrix is .(C) 'The deterrninant of an upper triangular mnatrix is always equal to the product of itsdiagonal entries.(D) Performing a row addition operation on a square matrix does not change its determinant.(E) Performing a scaling operation on a square matrix does not change its determinant.

複選題
If there are two nxn matrices A, B and one scalar r,

(A) det = det implies A = B.

(B) det(rA+B) = rdet+det.

(C) =detdet.

(D) det = det where A and B are row equivalent matrices.

(E)

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