(a) Adding a multiple of one row of a matrix to another row changes only the sign of the
Chapter 3, Problem 40(choose chapter or problem)
(a) Adding a multiple of one row of a matrix to another row changes only the sign of the determinant. (b) Two matrices are column-equivalent if one matrix can be obtained by performing elementary column operations on the other. (c) If one row of a square matrix is a multiple of another row, then the determinant is 0.
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