Indicate whether the statement is always true or sometimes false. Justify your answer by giving a logical
Question:
(a) If det(A) = 0, 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 det(A) = 0.
(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 det(AAT) = - 1.
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a False If det A 0 then A cannot be expressed as the product ...View the full answer
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
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