Question: 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

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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