If the determinant of the square matrix A is not zero, then the system (a) Ax = b has a unique solution, for every vector b.

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.CR: Chapter Review
Problem 11CC
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5. True or False. Justify your answer.
(a)
Ax = b has a unique solution, for every vector b.
(b)
If the determinant of the square matrix A is not zero, then the system
If the matrix A is not a square matrix, then the system Ax = [1,1, 17
can't have a unique solution.
Transcribed Image Text:5. True or False. Justify your answer. (a) Ax = b has a unique solution, for every vector b. (b) If the determinant of the square matrix A is not zero, then the system If the matrix A is not a square matrix, then the system Ax = [1,1, 17 can't have a unique solution.
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