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Consider the following matrix A: 1 3 -3 A = 26 -4 1 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 is in col(a): -12 b₁ = -20 -10 b2 2L 5 b3 = -10 -2 A0=b₁ b2 is in col(a): +6017- A =b₂ b3 is in col(a): 0 A0=b3 0

Consider the following matrix A: 1 3 -3 A = 26 -4 1 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 is in col(a): -12 b₁ = -20 -10 b2 2L 5 b3 = -10 -2 A0=b₁ b2 is in col(a): +6017- A =b₂ b3 is in col(a): 0 A0=b3 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following matrix A: 13-3 26-4 1 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. A = -12 b₁ = -20 - 10 b₂ = 1 5 b3 = -10 -2 b₁ is in col(a): 0 A0 =b₁ 0 b2 is in col(a): 0 A0 =b₂ 0 b3 is in col(a): 0 A0 =b3 0
Transcribed Image Text:Consider the following matrix A: 13-3 26-4 1 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. A = -12 b₁ = -20 - 10 b₂ = 1 5 b3 = -10 -2 b₁ is in col(a): 0 A0 =b₁ 0 b2 is in col(a): 0 A0 =b₂ 0 b3 is in col(a): 0 A0 =b3 0
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