For the following system of equations, determine the values of {d1, d2, d3} of the intermediate vector {D} when using LU Decomposition method to find the first column of the inverse matrix [A]-1.
For the following system of equations, determine the values of {d1, d2, d3} of the intermediate vector {D} when using LU Decomposition method to find the first column of the inverse matrix [A]-1.
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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Numerical
3
![For the following system of equations,
determine the values of {d1, d2, d3} of the
intermediate vector {D} when using LU
Decomposition method to find the first
column of the inverse matrix [A]-1.
8x1 + 4x2 – X3 = 11
- 2x1 + 5x2 + X3 = 4
2x1 - X2 + 6x3= 7
a. {1, 0.25, -0.16667}
O b. {1, 1.0167, 1.0233}
О с. {11, 6.75, 7.5}
d. {0, 1, 0.3333}
Ое. {11, 6.75, 6.5}
O f. {1, 0, 0}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb473b844-9243-4ff0-8616-c3876850d95a%2F60fb528a-0849-4d65-9abe-4fcc5649b284%2Fq12qv5a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the following system of equations,
determine the values of {d1, d2, d3} of the
intermediate vector {D} when using LU
Decomposition method to find the first
column of the inverse matrix [A]-1.
8x1 + 4x2 – X3 = 11
- 2x1 + 5x2 + X3 = 4
2x1 - X2 + 6x3= 7
a. {1, 0.25, -0.16667}
O b. {1, 1.0167, 1.0233}
О с. {11, 6.75, 7.5}
d. {0, 1, 0.3333}
Ое. {11, 6.75, 6.5}
O f. {1, 0, 0}
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