Two augmented matrices for two linear systems in the variables x, y, and z are given below.The augmented matrices are in reduced row-echelon form.For each system, choose the best description of its solution.If applicable, give the solution.(a)The system has no solution.1 0-1The system has a unique solution.0 11 5(x, y, 2) = 1ID0 0 0The system has infinitely many solutions.(x, y, 2) = (x, [1,)o (x, y, 2) = (y. )(x, y, 2) = (1-)(b)The system has no solution.1 0 0The system has a unique solution.0 1 0(x, y, z) = (111)0 0 1The system has infinitely many solutions.o (x, y. 2) = (x., LD o (1, y, 2) = (x, [11)%3Do (x, y, =) = 1-)(b)The system has no solution.[1 0 0-5The system has a unique solution.0 1 0(x, y. 2) = 11D0 0 1 1The system has infinitely many solutions.o (r, y. 2) = (x.L)o (x,y. 2) = y. )o (4, y, =) = 1-)

a) 10-1201150000 b) 100-501020011

(a) The system has no solution. [1 0 -1 2 The system has a unique solution. 0 1 1 (x, y, 2) = (1LD 0 0 0 The system has infinitely many solutions. o (x,y, 2) = (x,LD (,y, 2) = 1-) (b) The system has no solution. |1 0 0 -5 The system has a unique solution. 0 1 0 (x, y, z) = (1L) 0 0 1i 1 The system has infinitely many solutions. o (x, y, 2) = (x, LD

(a) The system has no solution. [1 0 -1 2 The system has a unique solution. 0 1 1 (x, y, 2) = (1LD 0 0 0 The system has infinitely many solutions. o (x,y, 2) = (x,LD (,y, 2) = 1-) (b) The system has no solution. |1 0 0 -5 The system has a unique solution. 0 1 0 (x, y, z) = (1L) 0 0 1i 1 The system has infinitely many solutions. o (x, y, 2) = (x, LD

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 4CC

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Compare solving the linear system below to solving it using its associated augmented matrix. 2x+yz=34x2y+2z=26x+5y+4z=10

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