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Given a homogeneous system Ax = 0 of (scalar) linear equations, a subset of these equations is irredundant provided that the corresponding column vectors of the transpose A' are linearly independent. Extract from the given system a maximal subset of irredundant equations. X₂ - 3x₂ + 2x₂ = 0 2X₂ +2x₂ +9x3 = 0 4x₂ - 4x₂ +13% =0 Which of the following is a maximal subset of irredundant equations? OA. (4x,-4x₂+ 13xg=0} OB. (x₁-3x₂+2xg=0} OC. (x₁ -3x₂+2xg = 0. 2x₁ + 2x₂ +9%₂ = 0) OD. (₁-3x₂+2x₂ = 0. 2x₁ + 2x₂ +9x₂ = 0. 4x₁-4X₂ + 13x₂ = 0) O E. (2x, +2x₂ + 9x3 = 0}

Given a homogeneous system Ax = 0 of (scalar) linear equations, a subset of these equations is irredundant provided that the corresponding column vectors of the transpose A' are linearly independent. Extract from the given system a maximal subset of irredundant equations. X₂ - 3x₂ + 2x₂ = 0 2X₂ +2x₂ +9x3 = 0 4x₂ - 4x₂ +13% =0 Which of the following is a maximal subset of irredundant equations? OA. (4x,-4x₂+ 13xg=0} OB. (x₁-3x₂+2xg=0} OC. (x₁ -3x₂+2xg = 0. 2x₁ + 2x₂ +9%₂ = 0) OD. (₁-3x₂+2x₂ = 0. 2x₁ + 2x₂ +9x₂ = 0. 4x₁-4X₂ + 13x₂ = 0) O E. (2x, +2x₂ + 9x3 = 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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Given a homogeneous system Ax = 0 of (scallar) linear equations, a subset of these equations is irredundant provided that the corresponding column vectors of the transpose A are linearly independent. Extract from the given system a maximal subset of irredundant equations. +2X₂ = 0 +9%₂ = 0 -4x₂ +13x₂0 X₁ -3X₂ 2x₂ + 2x₂ 4x₁ Which of the following is a maximal subset of irredundant equations? OA. (4x, -4x₂+ 13xg=0} OB. x₁-3x₂+2x₂ = 0} OC. (x₁ -3x₂+2xg = 0. 2x₂+2x₂ +9x₂ = 0) OD. (x₂-3x₂+2x₂ = 0. 2x₁ + 2x₂ +9%₂ = 0, 4x₂ - 4x₂ + 13x₂ = 0} O E. (2x, +2x₂ +9x₂=0}
Transcribed Image Text:Given a homogeneous system Ax = 0 of (scallar) linear equations, a subset of these equations is irredundant provided that the corresponding column vectors of the transpose A are linearly independent. Extract from the given system a maximal subset of irredundant equations. +2X₂ = 0 +9%₂ = 0 -4x₂ +13x₂0 X₁ -3X₂ 2x₂ + 2x₂ 4x₁ Which of the following is a maximal subset of irredundant equations? OA. (4x, -4x₂+ 13xg=0} OB. x₁-3x₂+2x₂ = 0} OC. (x₁ -3x₂+2xg = 0. 2x₂+2x₂ +9x₂ = 0) OD. (x₂-3x₂+2x₂ = 0. 2x₁ + 2x₂ +9%₂ = 0, 4x₂ - 4x₂ + 13x₂ = 0} O E. (2x, +2x₂ +9x₂=0}
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