Question: Let A = CR where C 0 is a column in Rm and R 0 is a row in Rn. (a) Show that

Let A = CR where C ≠ 0 is a column in Rm and R ≠ 0 is a row in Rn.
(a) Show that col A = span {C} and row A = span {R}.
(b) Find dim(null A).
(c) Show that null A = null R.

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