Show that w is in span(B). B = 162 -{BA-A = We want to solve +643-3 so set up the augmented matrix of the linear system and row-reduce to solve it: Thus C1 1 1 1 1 R₂ - 2R1 2 0 0-2 0-1 0-1 = and C2 = 1 2 Find the coordinate vector [w] B. [w]B= 1 1 0 1 0-1 R1 R2 1 0 0 R3 + R2 0 0 1 0 ☐ ☐ ☐ so that
Show that w is in span(B). B = 162 -{BA-A = We want to solve +643-3 so set up the augmented matrix of the linear system and row-reduce to solve it: Thus C1 1 1 1 1 R₂ - 2R1 2 0 0-2 0-1 0-1 = and C2 = 1 2 Find the coordinate vector [w] B. [w]B= 1 1 0 1 0-1 R1 R2 1 0 0 R3 + R2 0 0 1 0 ☐ ☐ ☐ so that
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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