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    linear transformation

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    Show that if c(A) is the vector space formed by the columns of an nxm matrix A where n>>m and N(c(A)) is the null space of c(A) - that is, N(c(A)) = {w|w'v=0 for all v∈c(A)}, then N(N(c(A)))=c(A). (Hint: Use the rank-nullity theorem).

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    Solution Summary

    This solution clearly assesses linear transformation.