5. If the statement is always true, circle True. If the statement is sometimes false, circle...
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5. If the statement is always true, circle True. If the statement is sometimes false, circle False. In each case, write a careful and clear justification or counterexample. (a) The columns of any m x n matrix where n > m are linearly independent. (b) If three vectors in R³ lie in the same plane in R³, then they are linearly dependent. True True False False 5. If the statement is always true, circle True. If the statement is sometimes false, circle False. In each case, write a careful and clear justification or counterexample. (a) The columns of any m x n matrix where n > m are linearly independent. (b) If three vectors in R³ lie in the same plane in R³, then they are linearly dependent. True True False False
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