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Linear algebra - Coggle Diagram

- - - - (B+C)A = BA+CA
        
        r(AB) = (rA)B = A(rB)
        
        IA = A = AI
- - - - A has n pivot positions
        
        Ax=0 has only trivial soln
        
        Columns of A are linearly independent
        
        Linear transformation X -> Ax is 1-to-1
        
        The equation Ax=b has at least one soln for each b (n)
        
        Columns of A span (n)
        
        1 more item...
- - - - (rA)^T = rA^T
        
        (AB)^T = (B^T)(A^T)