Solved: Let A Rmn, B Rnr , and C = AB. Show that (a) if the column vectors of B are
Chapter 3, Problem 30(choose chapter or problem)
Let A Rmn, B Rnr , and C = AB. Show that (a) if the column vectors of B are linearly dependent, then the column vectors of C must be linearly dependent. (b) if the row vectors of A are linearly dependent, then the row vectors of C are linearly dependent. [Hint: Apply part (a) to CT ]
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