1. In the following exercises, all coefficients for a linear system are given. Display the corresponding linear system and verify that the given values of the variables correspond to a solution: (a) 1 a12 = 3, a21 = 4, -1 a22 = 1 a11 = b1 = 7, b2 = 2 x2 = 2 (b) a11 = 1 a12 = 1 a21 = 3 a22 = 4 -1 b1 = 0. b2 -1 a32 = 8. аз1 b3 -3 X2 = 3 .13 = 3 I| ||||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. In the following exercises, all coefficients for a linear system are given. Display the corresponding linear
system and verify that the given values of the variables correspond to a solution:
(a)
1
3,
4,
-1
a11 =
bị =
7,
a21 =
1
a12 =
a22 =
b2
2
%3D
%3D
X2 =
(b)
a11 =
1
a12
1
A21 =
3
A22 =
4
a31 =
-1
A32 =
b2
-1
%3D
b3 =
-3
8.
X2 =
.X3 =
3
I| ||||
Transcribed Image Text:1. In the following exercises, all coefficients for a linear system are given. Display the corresponding linear system and verify that the given values of the variables correspond to a solution: (a) 1 3, 4, -1 a11 = bị = 7, a21 = 1 a12 = a22 = b2 2 %3D %3D X2 = (b) a11 = 1 a12 1 A21 = 3 A22 = 4 a31 = -1 A32 = b2 -1 %3D b3 = -3 8. X2 = .X3 = 3 I| ||||
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