Solving a System Using the Matrix Equation, AX=B, Example
Solving a System Using the Matrix Equation, AX=B, Example

Algebra and Trigonometry (MindTap Course List)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Question

Suppose each matrix below represents the augmented matrix for a system of linear equations. For matrices (a) and (b), determine if the system is consistent. If the system is consistent, determine if the solution is unique. (Note that leading entries marked with an X may have any nonzero value and starred entries (*) may have any value including zero.) b. 0 0 0 0 a. Select the correct answer below. O A. The system is inconsistent. O B. The system is consistent, with a unique solution. O C. The consistency of the system and the number of solutions cannot be determined with the given information. O D. The system is consistent, with infinitely many solutions. b. Select the correct answer below. O A. The system is inconsistent. O B. The system is consistent, with infinitely many solutions. O C. The system is consistent, with a unique solution. O D. The consistency of the system and the number of solutions cannot be determined with the given information.

Transcribed Image Text:Suppose each matrix below represents the augmented matrix for a system of linear equations. For matrices (a) and (b), determine if the system is consistent. If the system is consistent, determine if the solution is unique. (Note that leading entries marked with an X may have any nonzero value and starred entries (*) may have any value including zero.) b. 0 0 0 0 a. Select the correct answer below. O A. The system is inconsistent. O B. The system is consistent, with a unique solution. O C. The consistency of the system and the number of solutions cannot be determined with the given information. O D. The system is consistent, with infinitely many solutions. b. Select the correct answer below. O A. The system is inconsistent. O B. The system is consistent, with infinitely many solutions. O C. The system is consistent, with a unique solution. O D. The consistency of the system and the number of solutions cannot be determined with the given information.

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