Consider the following matrix A: 3-3-3 3-1-7 A = 2-3 3 2 -3 -2 For each of the following vectors, determine whether the vector is in the column space of A. If so, demonstrate this by providing a vector x so that Ax-b₁. b₁ = b3 = -6 -18 8 -2 3 15 -10 0 ܬ 5 -3 6 b₁ is in col(a): 0 A0 =b₁ 0 b2 is in col(a): 0 A0=b₂ b3 is in col(a): A0 =b3
Consider the following matrix A: 3-3-3 3-1-7 A = 2-3 3 2 -3 -2 For each of the following vectors, determine whether the vector is in the column space of A. If so, demonstrate this by providing a vector x so that Ax-b₁. b₁ = b3 = -6 -18 8 -2 3 15 -10 0 ܬ 5 -3 6 b₁ is in col(a): 0 A0 =b₁ 0 b2 is in col(a): 0 A0=b₂ b3 is in col(a): A0 =b3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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