(2x- y+2z =5 1. Solve the system using Cramer's Rule: 4x-3y=17 x-y+z=2 2x+6y-3z=-8 2. Solve the system by the inverse matrix method: -x-5y+6z=1 (-2y+4z=-2 3. Use Gauss' method and/or rank of matrix to justify that the given system has infinitely many solutions. Write the general solution and give one example of particular solution. x+y-3z=4 2x-3y+z=1 3x-2y-2z=5

(2x- y+2z =5 1. Solve the system using Cramer's Rule: 4x-3y=17 x-y+z=2 2x+6y-3z=-8 2. Solve the system by the inverse matrix method: -x-5y+6z=1 (-2y+4z=-2 3. Use Gauss' method and/or rank of matrix to justify that the given system has infinitely many solutions. Write the general solution and give one example of particular solution. x+y-3z=4 2x-3y+z=1 3x-2y-2z=5

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter11: Matrices And Determinants

Section11.1: Matrices And Systems Of Linear Equations

Problem 1E: If a system of linear equations has infinitely many solutions, then the system is called _______. If...

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