1. For n 2 2, let A = [a E M,(C). Suppose A is diagonally dominant. Show that if af # 0 for all i, je (1, 2, ..., n} and la,>r, for at least one je (1, 2, n}, then A is nonsingular. ....
1. For n 2 2, let A = [a E M,(C). Suppose A is diagonally dominant. Show that if af # 0 for all i, je (1, 2, ..., n} and la,>r, for at least one je (1, 2, n}, then A is nonsingular. ....
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 74EQ
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