Consider the following two systems. (a) -5x + 3y -1 -x+ 9y -1 (b) -5x + 3y 1 -x + 9y = 4 O Find the inverse of the (common) coefficient matrix of the two systems. A- = (1) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-!B where B represents the right hand side (i.e. - [모, B = for system (a) and B = for system (b). Solution to system (a): x = y = Solution to system (b): x = y =
Consider the following two systems. (a) -5x + 3y -1 -x+ 9y -1 (b) -5x + 3y 1 -x + 9y = 4 O Find the inverse of the (common) coefficient matrix of the two systems. A- = (1) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-!B where B represents the right hand side (i.e. - [모, B = for system (a) and B = for system (b). Solution to system (a): x = y = Solution to system (b): x = y =
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:Consider the following two systems.
|(a)
-5x + 3y
-1
—х+9у
-1
%3D
(b)
-5х + 3у
1
—х +9у
4
(i) Find the inverse of the (common) coefficient matrix of the two systems.
A-1
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A-'B where B represents the right hand side (i.e.
B =
for system (a) and B =
for system (b).
Solution to system (a): x =
, y =
Solution to system (b): x =
y =
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