Consider the following two systems. (a) (b) - 4x + 2y 2x + y A-¹ -4x + 2y 2x + y = = 3 = -1 = -1 (i) Find the inverse of the (common) coefficient matrix of the two systems.
Consider the following two systems. (a) (b) - 4x + 2y 2x + y A-¹ -4x + 2y 2x + y = = 3 = -1 = -1 (i) Find the inverse of the (common) coefficient matrix of the two systems.
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
![(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b
H
represents the right hand side (i.e. b =
Solution to system (a): x =
Solution to system (b): x =
3
[³₂]
for system (a) and b
, y =
, y =
-
for system (b)).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F160fd351-17ca-4577-bffb-265c7021964b%2Faba05360-1e85-4959-8270-bc851206115c%2Fom76kf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-¹b where b
H
represents the right hand side (i.e. b =
Solution to system (a): x =
Solution to system (b): x =
3
[³₂]
for system (a) and b
, y =
, y =
-
for system (b)).
Transcribed Image Text:Consider the following two systems.
(b)
A-¹
- 4x + 2y
2x + y
=
- 4x + 2y
2x + y
3
= -1
-1
=
(i) Find the inverse of the (common) coefficient matrix of the two systems.
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