Equation condition for three related markets is given by 10x1 + 3x2 + 6x3 = 76 4x1 +5x3 = 41 5x1 +2x2 + 2x3 = 34 We can specify the given equation system in matrix format AX = b, where A is the coefficient matrix, X is the column vector of variables, and b is the column vector of constants. We can solve this system using Cramer's rule. Cramer's rule says that we can find the value of xby substituting the vector of constant values b for the ith column of matrix A and then dividing the determinant of this new matrix Aby the determinant of the original A matrix. Here, A2 | = and |As %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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Equation condition for three related markets is given by
10x1 + 3x2 + 6x3 = 76
4x1 +5x3 = 41
%3!
5x1 +2x2 + 2x3 = 34
We can specify the given equation system in matrix format
AX = b, where A is the coefficient matrix, X is the column vector of variables, and b is the column vector of
constants.
We can solve this system using Cramer's rule.
Cramer's rule says that we can find the value of xby substituting the vector of constant values b for the ith
column of matrix A and then dividing the determinant of this new matrix by the determinant of the original
A matrix.
Here, A2 | =and |A
Transcribed Image Text:Equation condition for three related markets is given by 10x1 + 3x2 + 6x3 = 76 4x1 +5x3 = 41 %3! 5x1 +2x2 + 2x3 = 34 We can specify the given equation system in matrix format AX = b, where A is the coefficient matrix, X is the column vector of variables, and b is the column vector of constants. We can solve this system using Cramer's rule. Cramer's rule says that we can find the value of xby substituting the vector of constant values b for the ith column of matrix A and then dividing the determinant of this new matrix by the determinant of the original A matrix. Here, A2 | =and |A
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