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Consider the following system of equations. 2x1 + X2 + *3 = b1 X₁ - 3x₂ + 4x3 = ₂ -X1 + x3 = 3 (a) Write the system of equations as a matrix equation. (b) Solve the system of equations by using the inverse of the coefficient matrix. (1) where b. =-1, b₂ = 10, b3--3 (x₁+x₂x3)= (i) where b₁-3, b₂ = -4, 63-0 (X₁ X₂ X3)=

Consider the following system of equations. 2x1 + X2 + *3 = b1 X₁ - 3x₂ + 4x3 = ₂ -X1 + x3 = 3 (a) Write the system of equations as a matrix equation. (b) Solve the system of equations by using the inverse of the coefficient matrix. (1) where b. =-1, b₂ = 10, b3--3 (x₁+x₂x3)= (i) where b₁-3, b₂ = -4, 63-0 (X₁ X₂ X3)=

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Consider the following system of equations. 2x₁ + x₂ + x3 = ₁ X₁ - 3x₂ + 4x3 = 2 -X₁ + x3 = b3 (a) Write the system of equations as a matrix equation. 3 (b) Solve the system of equations by using the inverse of the coefficient matrix. (1) where b, --1, b₂-10, b3--3 (X₁ X₂ X3)= (ii) where b₁ = 3, b₂-4, 63-0 (X₁ X2 X3)=(
Transcribed Image Text:Consider the following system of equations. 2x₁ + x₂ + x3 = ₁ X₁ - 3x₂ + 4x3 = 2 -X₁ + x3 = b3 (a) Write the system of equations as a matrix equation. 3 (b) Solve the system of equations by using the inverse of the coefficient matrix. (1) where b, --1, b₂-10, b3--3 (X₁ X₂ X3)= (ii) where b₁ = 3, b₂-4, 63-0 (X₁ X2 X3)=(
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