Consider the following two systems. а) (-4x + y x + 3y -3 b) { -4x + y 1 x + 3y -1 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. 1 for system (b)). В — for system (a) and B = Solution to system (a): x = · y = Solution to system (b): x = , 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
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Consider the following two systems.
(а)
(-4x + y
3
|x + 3y
-3
(b)
(-4x + Y
1
|x + 3y
-1
(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.
for system (a) and B :
for system (b).
=
Solution to system (a): x =
, Y =
Solution to system (b): x =
y =
Transcribed Image Text:Consider the following two systems. (а) (-4x + y 3 |x + 3y -3 (b) (-4x + Y 1 |x + 3y -1 (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. for system (a) and B : for system (b). = Solution to system (a): x = , Y = Solution to system (b): x = y =
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