Take an m by n matrix A . Let vector be a vector in R^m . Assume that vector x = <a_1,....,a_n> is a solution for the matrix equation Ax=b. Show that vector b is in the column space of A...

Take an m by n matrix A . Let vector be a vector in R^m . Assume that

vector x = <a_1,....,a_n>

is a solution for the matrix equation Ax=b. Show that vector b is in the column space of A by writing vector b as a linear combination of the columns of A

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