Consider the following two systems. (a) (b) 3x+5y -2x + 3y || || = -1 2 3x+5y -2x + 3y 1 = -4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A-1 = [88] (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 (b)). for system (a) and B = 2 Solution to system (a): x = Solution to system (b): x = y = y =
Consider the following two systems. (a) (b) 3x+5y -2x + 3y || || = -1 2 3x+5y -2x + 3y 1 = -4 (i) Find the inverse of the (common) coefficient matrix of the two systems. A-1 = [88] (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 (b)). for system (a) and B = 2 Solution to system (a): x = Solution to system (b): x = y = y =
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
Related questions
Question
![Consider the following two systems.
(a)
(b)
3x+5y
==
-1
-2x + 3y
=
2
3x+5y
-2x + 3y
=
1
=
-4
(i) Find the inverse of the (common) coefficient matrix of the two systems.
A-1
=
[88]
(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 (b)).
=
for system (a) and B:
=
2
Solution to system (a): x =
y
Solution to system (b): x =
y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25c63e2-41f4-4a5c-be1e-9bbac5f100c5%2F3ecbadcd-8ec4-487c-8da1-6f26c5cd2f58%2F7kzssoi_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following two systems.
(a)
(b)
3x+5y
==
-1
-2x + 3y
=
2
3x+5y
-2x + 3y
=
1
=
-4
(i) Find the inverse of the (common) coefficient matrix of the two systems.
A-1
=
[88]
(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 (b)).
=
for system (a) and B:
=
2
Solution to system (a): x =
y
Solution to system (b): x =
y =
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