Consider the system of equations shown below. X- 4y = 3x 12y = -2x + 8y = 11 33 -22 (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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the system of equations shown below.
X-
4y =
3x 12y =
-2x + 8y = -22
11
33
(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
Transcribed Image Text:Consider the system of equations shown below. X- 4y = 3x 12y = -2x + 8y = -22 11 33 (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
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