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. 00 X (a) 1 0 -1 2 0 1 .1 5 (b) 100-3 0 -8 The system has no solution. O The system has a unique solution. (x, y, z) = 0 The system has infinitely many solutions. ○ (x, y, z) = (x, D (x, y, z) = D (x, y, z) = 2) The system has no solution. The system has a unique solution. b) 100 -3 010 -8 001 -1 O The system has no solution. O The system has a unique solution. (x, y, z) = 0 O The system has infinitely many solutions. (x, y, z) = (x, D (x, y, z) = (y,D (x, y, z)=(2)
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. 00 X (a) 1 0 -1 2 0 1 .1 5 (b) 100-3 0 -8 The system has no solution. O The system has a unique solution. (x, y, z) = 0 The system has infinitely many solutions. ○ (x, y, z) = (x, D (x, y, z) = D (x, y, z) = 2) The system has no solution. The system has a unique solution. b) 100 -3 010 -8 001 -1 O The system has no solution. O The system has a unique solution. (x, y, z) = 0 O The system has infinitely many solutions. (x, y, z) = (x, D (x, y, z) = (y,D (x, y, z)=(2)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 9CT
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