(a) (b) Consider the following two systems. (i) Find the inverse of the (common) coefficient matrix of the two systems. Solution to system (a): a = Solution to system (b): x = A-¹ = y = y = -3x - 4y -4x + 3y -3x - 4y -4x+3y -2 -2 (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A ¹B where B represents the right hand side (i.e. B = [2] 2 -3 for system (a) and B = for system (b)).
(a) (b) Consider the following two systems. (i) Find the inverse of the (common) coefficient matrix of the two systems. Solution to system (a): a = Solution to system (b): x = A-¹ = y = y = -3x - 4y -4x + 3y -3x - 4y -4x+3y -2 -2 (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A ¹B where B represents the right hand side (i.e. B = [2] 2 -3 for system (a) and B = for system (b)).
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 two systems.
(1) Find the inverse of the (common) coefficient matrix of the two systems.
A-¹ =
y =
y =
-3x - 4y
-4x + 3y
-3x - 4y
-4x + 3y
=
=
=
=
-2
-2
2
-3
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A ¹B where B represents the right hand side (i.e. B =
Solution to system (a): x =
Solution to system (b):
for system (a) and B =
[2]
for system (b)).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2812bff8-be43-4d45-9951-77037de40dcd%2Fe6f0482f-bf22-4045-a0c4-ab71de4f85ad%2F0divs3g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a)
(b)
Consider the following two systems.
(1) Find the inverse of the (common) coefficient matrix of the two systems.
A-¹ =
y =
y =
-3x - 4y
-4x + 3y
-3x - 4y
-4x + 3y
=
=
=
=
-2
-2
2
-3
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A ¹B where B represents the right hand side (i.e. B =
Solution to system (a): x =
Solution to system (b):
for system (a) and B =
[2]
for system (b)).
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