Question -x₁+3x₂ = 2 2x1 + x₂ + 4x3 = 3 x2 + 2x3 = 4 (a) Using [IA] [A¹1], Find A-¹. (b)Find Adj A. (c)Using Adj A, find A-¹. (d) Are the matrices that are the inverse of the matrix A you obtained in cases a and c equal to each other? If yes, find the unknowns (x1, x2, x3) using the inverse of A. 2
Question -x₁+3x₂ = 2 2x1 + x₂ + 4x3 = 3 x2 + 2x3 = 4 (a) Using [IA] [A¹1], Find A-¹. (b)Find Adj A. (c)Using Adj A, find A-¹. (d) Are the matrices that are the inverse of the matrix A you obtained in cases a and c equal to each other? If yes, find the unknowns (x1, x2, x3) using the inverse of A. 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 2E
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![Question
-x₁ + 3x₂ = 2
2x₁ + x₂ + 4x3 = 3
x2 + 2x3 = 4
(a) Using [IA]~ [A-¹|I], Find A-¹.
(b) Find Adj A.
(c)Using Adj A, find A-¹.
(d) Are the matrices that are the inverse of the matrix A you obtained in cases a and c
equal to each other? If yes, find the unknowns (x₁, x2, x3) using the inverse of A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febb02a79-216d-42d2-a40c-94d250ef335e%2F6f4573a2-dc07-4bb8-bccb-3db5e20325e3%2F8d0y0qi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question
-x₁ + 3x₂ = 2
2x₁ + x₂ + 4x3 = 3
x2 + 2x3 = 4
(a) Using [IA]~ [A-¹|I], Find A-¹.
(b) Find Adj A.
(c)Using Adj A, find A-¹.
(d) Are the matrices that are the inverse of the matrix A you obtained in cases a and c
equal to each other? If yes, find the unknowns (x₁, x2, x3) using the inverse of A.
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