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
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Chapter2: Second-order Linear Odes
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(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:(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)).
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.
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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