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maximus101
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Homework Statement
If we let A be the augmented m x (n + 1) matrix of a system of m linear equations
with n unknowns
Let B be the m x n matrix obtained from A by removing the last
column.
Let C be the matrix in row reduced form obtained from A by elementary
row operations.
Prove the the following statements are equivalent:
(i) The linear equations have no solutions
(ii) If [tex]c_1[/tex],..., [tex]c_{n+1}[/tex] are the columns of A, then [tex]c_{n+1}[/tex] is not a linear combination of
[tex]c_1[/tex],..., [tex]c_n[/tex]
Homework Equations
The Attempt at a Solution
I'm not sure were to start, some good advice would help and then I can use it - comment back
thank you