Using the matrix notation, write the system of linear equations: 2x1 - X4 = -1 5x1 + X2 = 2 X3 = 1 -x1 +4x3 + x4 = 0 is the vector of variables. Then, find the system solution as: x = A-'b, and write the value of x2. (Hint: Use the Gauss-Jordan X3 as Ax = b, where x = algorithm to find the inverse A- of the matrix A first).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 11ECP
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Using the matrix notation, write the system of linear equations:
2x1 - X4
= -1
5x1 + x2
= 2
X3
= 1
-x1 +4x3 + x4
= 0
X2
as Ax = b, where x =
is the vector of variables. Then, find the system solution as: x = Ab, and write the value of x2 . (Hint: Use the Gauss-Jordan
algorithm to find the inverse A- of the matrix A first).
Transcribed Image Text:Using the matrix notation, write the system of linear equations: 2x1 - X4 = -1 5x1 + x2 = 2 X3 = 1 -x1 +4x3 + x4 = 0 X2 as Ax = b, where x = is the vector of variables. Then, find the system solution as: x = Ab, and write the value of x2 . (Hint: Use the Gauss-Jordan algorithm to find the inverse A- of the matrix A first).
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