In Exercises 1-8, solve the system by inverting the coefficient matrix and using Theorem 1.6.2. 1. x1 + x2 = 2 5x16x2 = 9 3. x1 +3x2 + x3 = 4 2x12x2 x3 = -1 2x13x2 x3 = 3

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CR: Review Exercises
Problem 24CR: In Exercises 23 and 24, solve the system of equations in Exercises 21 and 22 by using algebraic...
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In Exercises 1-8, solve the system by inverting the coefficient
matrix and using Theorem 1.6.2.
2
1. x1 + x2 =
5x1 + 6x2 = 9
3. x13x2 + x3 =
4
2x1 + 2x2
x3 =
-1
2x13x2
x3 =
3
Transcribed Image Text:In Exercises 1-8, solve the system by inverting the coefficient matrix and using Theorem 1.6.2. 2 1. x1 + x2 = 5x1 + 6x2 = 9 3. x13x2 + x3 = 4 2x1 + 2x2 x3 = -1 2x13x2 x3 = 3
THEOREM 1.6.2 If A is an invertible n x n matrix, then for each n × 1 matrix b, the
system of equations Ax = b has exactly one solution, namely, x = A¯¹b.
Transcribed Image Text:THEOREM 1.6.2 If A is an invertible n x n matrix, then for each n × 1 matrix b, the system of equations Ax = b has exactly one solution, namely, x = A¯¹b.
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