Consider the following system of equations. 2x1 + x2 + x3 = b1 x1 − 3x2 + 4x3 = b2 −x1 + x3 = b3 (a) Write the system of equations as a matrix equation. x1 x2 x3 = b1 b2 b3 (b) Solve the system of equations by using the inverse of the coefficient matrix. (i) where b1 = 4, b2 = 9, b3 = −5 (x1, x2, x3) = (ii) where b1 = 3, b2 = −4, b3 = 0 (x1, x2, x3) =

Consider the following system of equations. 2x1 + x2 + x3 = b1 x1 − 3x2 + 4x3 = b2 −x1 + x3 = b3 (a) Write the system of equations as a matrix equation. x1 x2 x3 = b1 b2 b3 (b) Solve the system of equations by using the inverse of the coefficient matrix. (i) where b1 = 4, b2 = 9, b3 = −5 (x1, x2, x3) = (ii) where b1 = 3, b2 = −4, b3 = 0 (x1, x2, x3) =

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 10CC

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