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The linear system in Exercise 22.1(b) has left side Lx for 0 0 L = | 12 -5 0 |-4 6 1 2 Compute L-1 and check that your answer is correct by multiplying it against L to confirm that you get I; (you just need to multiply it against L on one side or the other, not both). Use your answer to (a) to give a general solution to Lx = b with x = |2 and b = |b2 (i.e., express each r; in terms of the b;'s). Check that when b is as given on the right side of the linear system in Exercise 22.1(b), your general solution recovers the one found in Exercise 22.1(b).

The linear system in Exercise 22.1(b) has left side Lx for 0 0 L = | 12 -5 0 |-4 6 1 2 Compute L-1 and check that your answer is correct by multiplying it against L to confirm that you get I; (you just need to multiply it against L on one side or the other, not both). Use your answer to (a) to give a general solution to Lx = b with x = |2 and b = |b2 (i.e., express each r; in terms of the b;'s). Check that when b is as given on the right side of the linear system in Exercise 22.1(b), your general solution recovers the one found in Exercise 22.1(b).

Advanced Engineering Mathematics
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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The linear system in Exercise 22.1(b) has left side Lx for 0 0 L = | 12 -5 0 |-4 6 1 2 Compute L-1 and check that your answer is correct by multiplying it against L to confirm that you get I; (you just need to multiply it against L on one side or the other, not both). Use your answer to (a) to give a general solution to Lx = b with x = |2 and b = |b2 (i.e., express each r; in terms of the b;'s). Check that when b is as given on the right side of the linear system in Exercise 22.1(b), your general solution recovers the one found in Exercise 22.1(b).
Transcribed Image Text:The linear system in Exercise 22.1(b) has left side Lx for 0 0 L = | 12 -5 0 |-4 6 1 2 Compute L-1 and check that your answer is correct by multiplying it against L to confirm that you get I; (you just need to multiply it against L on one side or the other, not both). Use your answer to (a) to give a general solution to Lx = b with x = |2 and b = |b2 (i.e., express each r; in terms of the b;'s). Check that when b is as given on the right side of the linear system in Exercise 22.1(b), your general solution recovers the one found in Exercise 22.1(b).
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