Consider the system of equations shown below.2х —4y + 5z =10-7x + 14y + 4z = -35бу +3x -Z =15(a) Determine whether the nonhomogeneous system Ax = b is consistent.consistentO inconsistent(b) If the system is consistent, then write the solution in the form x = X, + Xh, where x, is a particular solution of Ax = b and X, is a solution of Ax = 0. (If the system isinconsistent, enter INCONSISTENT in both matrices.)X =+ t1 1

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Answered: Consider the system of equations shown…

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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Find all values of and b such that the system is inconsistent; consistent with exactly one solution; consistent with infinitely many solutions.
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Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, set x3 = t and solve for X₁ and X2.) X1 - 3x3 = -5 3x1 + x₂ - 2x3 = 1 2x1 + 2x2 + x3 = 1 (X1, X2, X3) = Need Help? Read It ►
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