= J-4x+3y -1 2x-3y -3 J-4x+3y = -2 2x-3y = 4 i) Find the inverse of the (common) coefficient matrix of the two systems. A 12 23 12 13 (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 = for system (a) and B = for system (b)). 4 Solution to system (a): x Solution to system (b): x = y= y=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
=
J-4x+3y -1
2x-3y
-3
J-4x+3y = -2
2x-3y
=
4
i) Find the inverse of the (common) coefficient matrix of the two systems.
A
12
23
12
13
(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 =
for system (a) and B =
for system (b)).
4
Solution to system (a): x
Solution to system (b): x =
y=
y=
Transcribed Image Text:= J-4x+3y -1 2x-3y -3 J-4x+3y = -2 2x-3y = 4 i) Find the inverse of the (common) coefficient matrix of the two systems. A 12 23 12 13 (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 = for system (a) and B = for system (b)). 4 Solution to system (a): x Solution to system (b): x = y= y=
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