Consider the linear system: x1 + 2x2 + 3x3 3x1 + 2x2 + x3 = 17 = 11 x1 - 5x2 + x3 =-5 Let A be the coefficient matrix of the given system and using Cramer's Rule x = • x1 = = det(A2) = ÷ det(Ai) det(A)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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Consider the linear system:
x1 + 2x2 + 3x3
3x1 + 2x2 + x3
= 17
= 11
x1 - 5x2 + x3
=-5
Let A be the coefficient matrix of the given system and using Cramer's Rule x =
•
x1 =
=
det(A2)
=
÷
det(Ai)
det(A)
Transcribed Image Text:Consider the linear system: x1 + 2x2 + 3x3 3x1 + 2x2 + x3 = 17 = 11 x1 - 5x2 + x3 =-5 Let A be the coefficient matrix of the given system and using Cramer's Rule x = • x1 = = det(A2) = ÷ det(Ai) det(A)
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