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Suppose that X1 = -2, x2 = 3, X3 = 4, X4 = - 1 is a solution of a nonhomogeneous linear system Ax = b, and that the solution set of the homogeneous system Ax = 0 is given by the formulas Find a vector form of the general solution of Ax = b. O O O O 5 O *55555 X3 XI X2 X3 || X2 X3 X4 N +3 11 AWN 3 -4 Hil 4 L 000 HOMO +r 2 2 + + C 1 4 +s O It is impossible to find the vector form of the general solution. X₁ X2 X3 X4 X₁ 0 +s +s +s 524 I 0 5 JU -2 -0 120 5 ONGS 5 X₁ = - 4r + 5s, x2 = r-25, X3 = r, X4 = S 2 -

Suppose that X1 = -2, x2 = 3, X3 = 4, X4 = - 1 is a solution of a nonhomogeneous linear system Ax = b, and that the solution set of the homogeneous system Ax = 0 is given by the formulas Find a vector form of the general solution of Ax = b. O O O O 5 O *55555 X3 XI X2 X3 || X2 X3 X4 N +3 11 AWN 3 -4 Hil 4 L 000 HOMO +r 2 2 + + C 1 4 +s O It is impossible to find the vector form of the general solution. X₁ X2 X3 X4 X₁ 0 +s +s +s 524 I 0 5 JU -2 -0 120 5 ONGS 5 X₁ = - 4r + 5s, x2 = r-25, X3 = r, X4 = S 2 -

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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Suppose that X1 = -2, X₂ = 3, X3 = 4, ×4 = − 1 is a solution of a nonhomogeneous linear system Ax = b, and that the solution set of the homogeneous system Ax = 0 is given by the formulas Find a vector form of the general solution of Ax = b. O XI X2 X3 O X4 XI X2 X3 x2 X3 X4 XI x2 X3 = X4 = = -2 -4 3 = I -2 3 4 +r 3 -4 2 2 3 -4 tr +r 4 X4 O It is impossible to find the vector form of the general solution. O X1 +r 0 0 + S 1 1 1 +S + s S + S 2 + 5 -2 2 0 X₁ = - 4r + 55, X₂ = r - 2s, x3 = r, x4 = 5 5 5 4
Transcribed Image Text:Suppose that X1 = -2, X₂ = 3, X3 = 4, ×4 = − 1 is a solution of a nonhomogeneous linear system Ax = b, and that the solution set of the homogeneous system Ax = 0 is given by the formulas Find a vector form of the general solution of Ax = b. O XI X2 X3 O X4 XI X2 X3 x2 X3 X4 XI x2 X3 = X4 = = -2 -4 3 = I -2 3 4 +r 3 -4 2 2 3 -4 tr +r 4 X4 O It is impossible to find the vector form of the general solution. O X1 +r 0 0 + S 1 1 1 +S + s S + S 2 + 5 -2 2 0 X₁ = - 4r + 55, X₂ = r - 2s, x3 = r, x4 = 5 5 5 4
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