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Indicate whether the statement is always true or sometimes false. Justify your answer by giving
23. a logical argument or a counterexample.
(a) If , then A is not expressible as a product of elementary matrices.
(b) If the reduced row-echelon form of A has a row of zeros, then .
(c) The determinant of a matrix is unchanged if the columns are written in reverse order.
(d) There is no square matrix A such that .
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