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Consider the system of equations shown below. 2x - 4y + 5z = -7x + 14y + 4z = -35 Зх — бу + 10 z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O 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 is inconsistent, enter INCONSISTENT in both matrices.) X = + t

Consider the system of equations shown below. 2x - 4y + 5z = -7x + 14y + 4z = -35 Зх — бу + 10 z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O 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 is inconsistent, enter INCONSISTENT in both matrices.) X = + t

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 shown below. 2x - 4y + 5z = -7x + 14y + 4z = -35 Зх — 10 бу + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O 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 is inconsistent, enter INCONSISTENT in both matrices.) X = + t
Transcribed Image Text:Consider the system of equations shown below. 2x - 4y + 5z = -7x + 14y + 4z = -35 Зх — 10 бу + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O 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 is inconsistent, enter INCONSISTENT in both matrices.) X = + t
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