Let E be an echelon matrix that is row equivalent to the matrix A. Show that E
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Let E be an echelon matrix that is row equivalent to the matrix A. Show that E has the same number of nonzero rows as does the reduced echelon form E* of A. Thus the number of nonzero rows in an echelon form of A is an “invariant” of the matrix A. Suggestion: Consider reducing E to E*.
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Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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