a) b) Consider the following system of linear equations 2 P₂ -4 2 P -4 P as Given h=0.5, f₁=²-2i, i=1, 2, 3, 4 and consider the coefficient matrix of the above system of linear equations. [h²f₁-15] K²S₂ Verify that the coefficient matrix of the system of linear equations can be stated 100 0¹-2 2 0 0 1 77 2 1 -4 2 h²f-20 -42 0 0 0 0 0 0 1 0 0 0 24 1 2 Determine the approximate value of P, i=1,2,3,4 24 0 0 0 0 2 41 12

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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a)
b)
Consider the following system of linear equations
2
1
as
2
1
2
-4
[R] [4²₁₁-15]
h²f₂
P₂
P
h²f-20
Given h=0.5, f₁=²-2i, i=1, 2, 3, 4 and consider the coefficient matrix of the above system
of linear equations.
Verify that the coefficient matrix of the system of linear equations can be stated
0
0 0-2 2 0
0
7
1
0
0 0 0
1 0 0 0
24
1 0 0
2
Determine the approximate value of P, i=1,2,3,4
24
0
2
41
12.
Transcribed Image Text:a) b) Consider the following system of linear equations 2 1 as 2 1 2 -4 [R] [4²₁₁-15] h²f₂ P₂ P h²f-20 Given h=0.5, f₁=²-2i, i=1, 2, 3, 4 and consider the coefficient matrix of the above system of linear equations. Verify that the coefficient matrix of the system of linear equations can be stated 0 0 0-2 2 0 0 7 1 0 0 0 0 1 0 0 0 24 1 0 0 2 Determine the approximate value of P, i=1,2,3,4 24 0 2 41 12.
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