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?

Answer 1

Answer mu * Given the data * let is alome that the data as followed non ha * Now we have to consider (as a vector is my element of a vector Space A It is the false Statement because vector space is any elements of vectos → elements of vector space is known as velty ut ever vector is not in h Answys ' is correct (b) is o is vector in a vector Space , then (Du is the same say the negative of u * the correct answer is 'C' → it is the false Stakment because for each uinu then the vectro in v such that U*(-4)=0 bou. Since Fence Proved