# Determine whether each statement is True or False. Justify each answer a. A vector is any...

###### Question:

Determine whether each statement is True or False. Justify each answer a. A vector is any element of a vector space. Is this statement true or false? O A. False; a vector space is any element of a vector O B. True by the definition of a vector space O C. False; not all vectors are elements of a vector space. b. If u is a vector in a vector space V, then (-1)u is the same as the negative of u Is this statement true or false? O A. True because for each u in V, there is a vector -u in V such that u (-u) 0 O B. True because for each u in V, -u-(-1)u O C. False because for each u in V, there is a vector -u in V such that u (-u) 0 O D. False because for each u in V.-u-u c. A vector space is also a subspace of itself. Is this statement true or false?

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