Passage
From the list of terms, find the best possible options for each subquestion: 1) Transpose of a matrix; 2) Determinant; 3) Closure with respect to addition; 4) Closure with respect to scalar multiplication; 5) Existence of additive inverse; 6) Commutativity of addition; 7) Associativity of addition; 8) Spanning set; 9) Linearly independent set; 10) Basis.