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Q-2: a) Consider the linear system 3x + y 2z = 8 4x-z = -1 (2x-3y+5z = -32 (i) Solve the linear system. (ii) Find the inverse of the coefficient matrix. b) For what values of h, vector u = (h,-3,-5) can be written as a linear combination of the vectors v₁ = (1,0,-2), and v₂ (1,0,-2), and v₂ = (−2,1,7).

Q-2: a) Consider the linear system 3x + y 2z = 8 4x-z = -1 (2x-3y+5z = -32 (i) Solve the linear system. (ii) Find the inverse of the coefficient matrix. b) For what values of h, vector u = (h,-3,-5) can be written as a linear combination of the vectors v₁ = (1,0,-2), and v₂ (1,0,-2), and v₂ = (−2,1,7).

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CT: Test
Problem 20CT
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Q-2: a) Consider the linear system 3x + y 2z = 8 4x-z = -1 (2x-3y+5z = -32 (i) Solve the linear system. (ii) Find the inverse of the coefficient matrix. b) For what values of h, vector u = (h,-3,-5) can be written as a linear combination of the vectors v₁ = (1,0,-2), and v₂ (1,0,-2), and v₂ = (−2,1,7).
Transcribed Image Text:Q-2: a) Consider the linear system 3x + y 2z = 8 4x-z = -1 (2x-3y+5z = -32 (i) Solve the linear system. (ii) Find the inverse of the coefficient matrix. b) For what values of h, vector u = (h,-3,-5) can be written as a linear combination of the vectors v₁ = (1,0,-2), and v₂ (1,0,-2), and v₂ = (−2,1,7).
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