True or false: If a system Au = b has a strictly diagonally dominant coefficient matrix A,

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True or false: If a system Au = b has a strictly diagonally dominant coefficient matrix A, then the equivalent system obtained by applying an elementary row operation to A also has a strictly diagonally dominant coefficient matrix.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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