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Is the equation Ax = b consistent for all b in R^3? Explain.

Is the equation Ax = b consistent for all b in R^3? Explain.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 70EQ
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Is the equation Ax = b consistent for all b in R^3? Explain. Your Answer: No, the system Ax=b is not consistent because 0 does not equal 1 A is not an augmented matrix
Transcribed Image Text:Is the equation Ax = b consistent for all b in R^3? Explain. Your Answer: No, the system Ax=b is not consistent because 0 does not equal 1 A is not an augmented matrix
Consider the matrix A and the reduced row echelon form of A. 1 2 1 41[1 0 -1 A =4 5 1 7 1 1 7 1 8 0 0 1
Transcribed Image Text:Consider the matrix A and the reduced row echelon form of A. 1 2 1 41[1 0 -1 A =4 5 1 7 1 1 7 1 8 0 0 1
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