Consider the following two systems. (a) (b) (i) Find the inverse of the (common) coefficient matrix of the two systems. B = for system (b)). J 6x + 4y 1-x-7y , Y y = (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 = A Solution to system (a): x = Solution to system (b): x = 1 3 3 (6x + 4y 1-x-7y = 4 --188) = for system (a) and

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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Consider the following two systems.
(a)
(b)
(1) Find the inverse of the (common) coefficient matrix of the two systems.
[3] to
Solution to system (a): x =
Solution to system (b): x =
B =
for system (b)).
J 6x + 4y = 1
-x-7y
= 3
y =
6x + 4y
-x - 7y
(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 =
H
, y =
= 3
4
=
--1(88)
=
for system (a) and
Transcribed Image Text:Consider the following two systems. (a) (b) (1) Find the inverse of the (common) coefficient matrix of the two systems. [3] to Solution to system (a): x = Solution to system (b): x = B = for system (b)). J 6x + 4y = 1 -x-7y = 3 y = 6x + 4y -x - 7y (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 = H , y = = 3 4 = --1(88) = for system (a) and
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