Question: For each given matrix A, first compute det(A). Then interchange two rows of your choosing and compute the determinant of the resulting matrix A'.
For each given matrix A, first compute det(A). Then interchange two rows of your choosing and compute the determinant of the resulting matrix A'. 0-11 (a) A = -1 31 2 04 det(A) = det(A') = 24 1 (b) A = 0 1 1 00-4 det(A) = det(A') = Form a conjecture about the effect of row interchanges on determinants. O Interchanging rows doubles the determinant. O Interchanging rows does not change the determinant. Interchanging rows halves the determinant. Interchanging rows changes the sign of the determinant. Interchanging rows has no consistent effect on the determinant.
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