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Let A be a 3 x 6 matrix and suppose that the SLE Ax = b is inconsistent where b is: (-) 3 b: = Suppose that A has been obtained from a 3 x 6 matrix B by performing the following EROS, in the order indicated: 1. R₁ R₂ 2. R₂ R2 - 3R1 3. R22 R2 4. R3 R3 + R1 for which of the following vectors c can we be sure that Bx = c is inconsistent?

Let A be a 3 x 6 matrix and suppose that the SLE Ax = b is inconsistent where b is: (-) 3 b: = Suppose that A has been obtained from a 3 x 6 matrix B by performing the following EROS, in the order indicated: 1. R₁ R₂ 2. R₂ R2 - 3R1 3. R22 R2 4. R3 R3 + R1 for which of the following vectors c can we be sure that Bx = c is inconsistent?

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 29CM
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Let A be a 3 x 6 matrix and suppose that the SLE Ax = b is inconsistent where b is: 1 b= - (-:-) -1 3 Suppose that A has been obtained from a 3 x 6 matrix B by performing the following EROS, in the order indicated: 1. R₁ R₂ 2. R₂ 3. R22R2 4. R3 → R3 + R1 for which of the following vectors c can we be sure that Bx = c is inconsistent? R2 - 3R₁
Transcribed Image Text:Let A be a 3 x 6 matrix and suppose that the SLE Ax = b is inconsistent where b is: 1 b= - (-:-) -1 3 Suppose that A has been obtained from a 3 x 6 matrix B by performing the following EROS, in the order indicated: 1. R₁ R₂ 2. R₂ 3. R22R2 4. R3 → R3 + R1 for which of the following vectors c can we be sure that Bx = c is inconsistent? R2 - 3R₁
O C = C = C = || C = 5 2 \4) -1 -1 4 8 2 2 (0) 1 4
Transcribed Image Text:O C = C = C = || C = 5 2 \4) -1 -1 4 8 2 2 (0) 1 4
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