Help me answer in full details 1. Solve the following system of linear equationsxi + 2x2 + 3x3 + 4x4 + 5x5 = 52x1 – 3x + 4x3 – 5x* + x5 = 10xi + x2 – X3 – x4 + x5 = 85x1 – 4.x2 – 3x3 + 2x4 + x5 = 93x1 + 4x2 – 3x3 – 4x4 + 6x5 = 7using(a) Direct algebraic manipulation, e.g., inverse multiplication.(b) Gaussian Elimination.(c) LU Decomposition.

GIven equations in matrix form: AX=D 123452-34-5111-1-115-4-32134-3-46x1x2x3x4x5=510897

1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 - 5x + x5 = 10 %3D X1 + x2 – X3 – X4 + xz = 8 5x1 – 4x2 – 3x3 +2x4 + x5 = 9 3x1 + 4.x2 - 3x3 - 4x4+6x5 = 7 4 using (a) Direct algebraic manipulation, e.g., inverse multiplication. (b) Gaussian Elimination.

1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 - 5x + x5 = 10 %3D X1 + x2 – X3 – X4 + xz = 8 5x1 – 4x2 – 3x3 +2x4 + x5 = 9 3x1 + 4.x2 - 3x3 - 4x4+6x5 = 7 4 using (a) Direct algebraic manipulation, e.g., inverse multiplication. (b) Gaussian Elimination.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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