Math1415_RoucheCapelli
TherankofamatrixandtheRouch´e-CapelliTheorem MarcoTolotti Introduction Considerthelinearsystem Ax=b, whereA=(a ij ) m×n ,x=(x 1 ,...,x n ) andb=(b 1 ,...,b m ) . TosolvethesystemmeanstoidentifythesetS∈R n definedby S={x∈R n |Ax=b}. Wesaythatalinearsystemisconsist...