3 Let matrix A = 1 12 (a) Find elementary matrices E,,.., E, such that E,E, A= 1. Write your answer as a product like 1 c d 12 -3 (b) Write A as the product elementary matrices. Hint, solve E,E, A=1 for A first ("algebraically"). Write your answer as a product like a b e f 1 ... c d g h 12 -3

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
3
Let matrix A =
1
–12
(a) Find elementary matrices E,.,E, such that E,.E, A = I. Write your answer as a
product like
b
e f
3
-12
1
-3
(b) Write A as the product elementary matrices. Hint, solve E,E, A=1 for A first
("algebraically"). Write your answer as a product like
...
b
3
1
-12
-3
Transcribed Image Text:3 Let matrix A = 1 –12 (a) Find elementary matrices E,.,E, such that E,.E, A = I. Write your answer as a product like b e f 3 -12 1 -3 (b) Write A as the product elementary matrices. Hint, solve E,E, A=1 for A first ("algebraically"). Write your answer as a product like ... b 3 1 -12 -3
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