Consider the linear system of equations Ax=b, where A is a mxn matrix and x is a nxl matrix Find the right statement if the system Ax=b does not have solutions, then A is not invertible b) if A is not invertible, then system Ax=b does not have solutions () if the system does not have solutions, then there exists J+o such that Ay=0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.5: Eigenvalues And Eigenvectors
Problem 13E
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The answer is A but to me they all seem that they can be correct can you explain why it’s A ?
Consider the linear system of equations Ax=b, where A is a mxn matrix
and x is a nxl matrix
Find the right statement
2) if the system Ax=b does not have solutions, then A is not invertible
b) ift A is not invertible, then system Ax=b does not have solutions
() if the system does not have solutions, then there exists
such that
y+o
Ay=0
Transcribed Image Text:Consider the linear system of equations Ax=b, where A is a mxn matrix and x is a nxl matrix Find the right statement 2) if the system Ax=b does not have solutions, then A is not invertible b) ift A is not invertible, then system Ax=b does not have solutions () if the system does not have solutions, then there exists such that y+o Ay=0
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