The inverse of the matrix 1 6 5 1 Use this fact to solve the following system. x = y + z = 3 6x - 7y + 6z = -9 Z = 15 -2x + 5y + A = (x, y, z) = 1 6 -2 -7 is A-1 = 37/3 6 -16/3 -2 -1 1 -1/3 0 1/3,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 19E
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The inverse of the matrix
-(1)-(313)
6 is A-1 =
A = 6
(x, y, z) =
-7
Use this fact to solve the following system.
-2 5
(
x = y + z = 3
6x - 7y + 6z = -9
-2x + 5y + z = 15
)
37/3 -2 -1/3
6
0
-16/3 1 1/3
Transcribed Image Text:The inverse of the matrix -(1)-(313) 6 is A-1 = A = 6 (x, y, z) = -7 Use this fact to solve the following system. -2 5 ( x = y + z = 3 6x - 7y + 6z = -9 -2x + 5y + z = 15 ) 37/3 -2 -1/3 6 0 -16/3 1 1/3
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