Consider the following. x1 − 2x2 + 3x3 = 3 −x1 + 3x2 − x3 = 2 2x1 − 5x2 + 5x3 = 3 (a) Write the system of linear equations as a matrix equation, AX = B. x1 x2 x3 = (b) Use Gauss-Jordan elimination on [A B] to solve for the matrix X. X = x1 x2 x3 =
Consider the following. x1 − 2x2 + 3x3 = 3 −x1 + 3x2 − x3 = 2 2x1 − 5x2 + 5x3 = 3 (a) Write the system of linear equations as a matrix equation, AX = B. x1 x2 x3 = (b) Use Gauss-Jordan elimination on [A B] to solve for the matrix X. X = x1 x2 x3 =
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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Question
Consider the following.
x1 | − | 2x2 | + | 3x3 | = | 3 |
−x1 | + | 3x2 | − | x3 | = | 2 |
2x1 | − | 5x2 | + | 5x3 | = | 3 |
(a) Write the system of linear equations as a matrix equation,
=
(b) Use Gauss-Jordan elimination on
AX = B.
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|
|||||
|
x1 |
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||
x2 | ||||
x3 |
|
|
|||
(b) Use Gauss-Jordan elimination on
[A B]
to solve for the matrix X.X =
=
|
x1 |
|
||
x2 | ||||
x3 |
|
|
|||
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