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(b) Consider the following augmented matrix, 1 0 0 1 0 0 (c+1) 0 0 0 1-1 1 2 which corresponds to a system of linear equations. (i) For what values of c does the system have a unique solution? Write down the corresponding solutions. (ii) For what values of c does the system have infinitely many solutions? Write down the corresponding solutions. (iii) For what values of c does the system have no solutios 10

(b) Consider the following augmented matrix, 1 0 0 1 0 0 (c+1) 0 0 0 1-1 1 2 which corresponds to a system of linear equations. (i) For what values of c does the system have a unique solution? Write down the corresponding solutions. (ii) For what values of c does the system have infinitely many solutions? Write down the corresponding solutions. (iii) For what values of c does the system have no solutios 10

Algebra and Trigonometry (MindTap Course List)
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 3E
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(b) Consider the following augmented matrix, 1 0 0 1 0 0 (c+1) 0 0 0 1 1-1 1 which corresponds to a system of linear equations. (i) For what values of c does the system have a unique solution? Write down the corresponding solutions. (ii) For what values of c does the system have infinitely many solutions? Write down the corresponding solutions. (iii) For what values of c does the system have no solutiors? (c) Find the inverse of the matrix C using Gauss-Jordan elimination. You must clearly state and show all row operations.
Transcribed Image Text:(b) Consider the following augmented matrix, 1 0 0 1 0 0 (c+1) 0 0 0 1 1-1 1 which corresponds to a system of linear equations. (i) For what values of c does the system have a unique solution? Write down the corresponding solutions. (ii) For what values of c does the system have infinitely many solutions? Write down the corresponding solutions. (iii) For what values of c does the system have no solutiors? (c) Find the inverse of the matrix C using Gauss-Jordan elimination. You must clearly state and show all row operations.
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