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Consider the system of equations shown below. x - 4y = 18 3x - 12y = 54 -2x + 8y = -36 (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 x, is a particular solution of Ax = b and xh, is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) X = J => + t ↓ 1

Consider the system of equations shown below. x - 4y = 18 3x - 12y = 54 -2x + 8y = -36 (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 x, is a particular solution of Ax = b and xh, is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) X = J => + t ↓ 1

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. x - 4y = 3x - 12y = -2x + 8y = -36 18 54 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent X = 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.) + t 3
Transcribed Image Text:Consider the system of equations shown below. x - 4y = 3x - 12y = -2x + 8y = -36 18 54 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent X = 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.) + t 3
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