Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Question
Let A be an m×n matrix, X an n×r matrix, and B
an m × r matrix. Show that
AX = B
if and only if
Axj = bj, j = 1, . . . , r
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