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Consider the system of equations shown below. 2x - -7x + 14y + 4z = -21 3x - 4y + 5z = 6 6y + z = (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.)

Consider the system of equations shown below. 2x - -7x + 14y + 4z = -21 3x - 4y + 5z = 6 6y + z = (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.)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.5: Cramer's Rule
Problem 35PS
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Consider the system of equations shown below. 4y + 5z = -7x + 14y + 4z = -21 бу + 2x Зх — Z = 9. (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.) + t
Transcribed Image Text:Consider the system of equations shown below. 4y + 5z = -7x + 14y + 4z = -21 бу + 2x Зх — Z = 9. (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.) + t
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