Solution Found!
Let E be an echelon matrix that is row equivalent to the
Chapter 3, Problem 40P(choose chapter or problem)
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 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*.
Questions & Answers
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 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*.
ANSWER:Problem 40PLet E be an echelon matrix that is row equivalent to the matrix A. Show that E has the same num