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Consider the system of equations shown below. 3w2x+16y - 2z = -9 -w+ 5x 14y + 18z = 23 3wx+14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax = b is consistent. consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = xp + xhr where xp is a particular solution of Ax = b and x,, is a solution of Ax = 0. (If the system i inconsistent, enter INCONSISTENT in both matrices.) X = 000: ↓ 1 000= →

Consider the system of equations shown below. 3w2x+16y - 2z = -9 -w+ 5x 14y + 18z = 23 3wx+14y + 2z = 1 (a) Determine whether the nonhomogeneous system Ax = b is consistent. consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = xp + xhr where xp is a particular solution of Ax = b and x,, is a solution of Ax = 0. (If the system i inconsistent, enter INCONSISTENT in both matrices.) X = 000: ↓ 1 000= →

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. 2z = -9 3w 2x + 16y- -w + 5x - 14y + 18z = 23 3w - x + 14y + 2z = 1 (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 = Xp + Xh, where xp 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. 2z = -9 3w 2x + 16y- -w + 5x - 14y + 18z = 23 3w - x + 14y + 2z = 1 (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 = Xp + Xh, where xp 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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