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hgj
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I need to do the following question:
Let W be the additive subgroup of R[tex]^m[/tex] of solutions of a system of homogeneous equations AX=0. Show that the solutions of an inhomogeneous system AX=B forms a coset of W.
I really just don't know where to start. Any help would be appreciated.
Let W be the additive subgroup of R[tex]^m[/tex] of solutions of a system of homogeneous equations AX=0. Show that the solutions of an inhomogeneous system AX=B forms a coset of W.
I really just don't know where to start. Any help would be appreciated.