Write the given system of equations as a matrix equation and solve by using inverses. X1 - X2 = k, 4x4 - 12x2 + X3 = k2 + X3 = k3 - 9x1 a. What are x4, X2, and x3 when k, = 9, k2 = - 8, and kg = - 7? Xq = - 109 X2 = - 118 X3 = - 988 b. What are x4, X2, and x3 when k, = - 9, k2 = - 2, and kg = 3? X2 = X3 = %3D

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Write the given system of equations as a matrix equation and solve by using inverses.
X1 - X2
= k,
4x4 - 12x2 + X3 = k2
+ X3 = k3
- 9x1
a. What are x4, X2, and x3 when k, = 9, k2 = - 8, and kg = - 7?
Xq = - 109
X2 = - 118
X3 = - 988
b. What are x4, X2, and x3 when k, = - 9, k2 = - 2, and kg = 3?
X2 =
X3 =
%3D
Transcribed Image Text:Write the given system of equations as a matrix equation and solve by using inverses. X1 - X2 = k, 4x4 - 12x2 + X3 = k2 + X3 = k3 - 9x1 a. What are x4, X2, and x3 when k, = 9, k2 = - 8, and kg = - 7? Xq = - 109 X2 = - 118 X3 = - 988 b. What are x4, X2, and x3 when k, = - 9, k2 = - 2, and kg = 3? X2 = X3 = %3D
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