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Consider the system of equations (with an unknown real number a): 2.x1 +2x2+ x3 =a ax¡+ax2+4x3 = 1 ax¡+2x2+2ax3=1. %3D A) Do the row operations (for a ER \(2,8) in the mentioned order on the total matrix of the equation system and show the emerged Matrix The reduced echelon form of the total matrix for a € R \(2,8)) is given by 01 0 0 0 1 b) What is the solution to the equation when a = 8 c) What is the solution to the equation when a = 2 Can the reduced totalmatrix be used to find the solutions that may be be when a = 2 d) Assume that a = 0. What I the inverse matrix to the coefficient matrix A for the equationsystem. A

Consider the system of equations (with an unknown real number a): 2.x1 +2x2+ x3 =a ax¡+ax2+4x3 = 1 ax¡+2x2+2ax3=1. %3D A) Do the row operations (for a ER \(2,8) in the mentioned order on the total matrix of the equation system and show the emerged Matrix The reduced echelon form of the total matrix for a € R \(2,8)) is given by 01 0 0 0 1 b) What is the solution to the equation when a = 8 c) What is the solution to the equation when a = 2 Can the reduced totalmatrix be used to find the solutions that may be be when a = 2 d) Assume that a = 0. What I the inverse matrix to the coefficient matrix A for the equationsystem. A

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 system of equations (with an unknown real number a): 2.x1 + 2.x2+ x3 =a ax¡+ax2+4x3 = 1 ax¡+2x2+2axz = 1. A) Do the row operations (for a ER \{2,8) in the mentioned order on the total matrix of the equation system and show the emerged Matrix The reduced echelon form of the total matrix for a ER \{2,8}) is given by 2a²+4a–5 a-8 2(a²-2) 100 0 1 0 0 0 1 b) What is the solution to the equation when a = 8 c) What is the solution to the equation when a = 2 Can the reduced totalmatrix be used to find the solutions that may be be when a = 2 d) Assume that a = 0. What I the inverse matrix to the coefficient matrix A for the equationsystem.
Transcribed Image Text:Consider the system of equations (with an unknown real number a): 2.x1 + 2.x2+ x3 =a ax¡+ax2+4x3 = 1 ax¡+2x2+2axz = 1. A) Do the row operations (for a ER \{2,8) in the mentioned order on the total matrix of the equation system and show the emerged Matrix The reduced echelon form of the total matrix for a ER \{2,8}) is given by 2a²+4a–5 a-8 2(a²-2) 100 0 1 0 0 0 1 b) What is the solution to the equation when a = 8 c) What is the solution to the equation when a = 2 Can the reduced totalmatrix be used to find the solutions that may be be when a = 2 d) Assume that a = 0. What I the inverse matrix to the coefficient matrix A for the equationsystem.
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