Question: Please show all work necessary Let U be the subspace of F defined by U = { (21, 12, 23) ( F | 21 =

Please show all work necessary

Let U be the subspace of F defined by U = { (21, 12, 23) ( F | 21 = 3x3} . a) Find a basis of U and verify that it is a basis. b) Extend the basis in part (a) to a basis of F^3

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