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Question: 20 points a strictly column diagonally dominant matrix is a...

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[20 points] A strictly column diagonally dominant matrix is a matrix AeR for which lay > Σ lay for all i-1, itj Let A be a strictly column diagonally dominant matrix. Show that A is nonsingular, using a proof technique that employs Gauss elimination. Hint: Starting from a generic column diagonally dominant matrix, apply one step of Gauss elimination, then continue working on appropriate submatrices. and/or appropriate submatrices.

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