Consider the following two systems. for system (a) and B Solution to system (a): x= Solution to system (b): x = (i) Find the inverse of the (common) coefficient matrix of the two systems. A-¹ = = 4 J-3x - 4y 3x - 5y , y = -3x - 4y 3x - 5y , Y = || || = (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating AB where B represents the right hand side (i.e. 2 for system (b)). B= 2 -3 ↑ -2 4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.3: Multiplication Of Matrices
Problem 38E: Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two...
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Consider the following two systems.
(a)
A¹ =
for system (a) and B
√-3x
3x - 5y
(i) Find the inverse of the (common) coefficient matrix of the two systems.
4
4y
y =
, Y =
-3x - 4y
3x-5y
=
2
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating AB where B represents the right hand side (i.e.
B=
[2]
for system (b)).
Solution to system (a): x=
Solution to system (b): x
-3
-2
4
Transcribed Image Text:Consider the following two systems. (a) A¹ = for system (a) and B √-3x 3x - 5y (i) Find the inverse of the (common) coefficient matrix of the two systems. 4 4y y = , Y = -3x - 4y 3x-5y = 2 (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating AB where B represents the right hand side (i.e. B= [2] for system (b)). Solution to system (a): x= Solution to system (b): x -3 -2 4
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