What is the volume of this solid? A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches. Recall the formula V = Bh.

280

Step-by-step explanation:

10x7 = 70

70/2 = 35

35x8 =280

Let T​ : V right arrow→ W be a linear transformation from a vector space V into a vector space W. Prove that the range of T is a subspace of W.​ [Hint: Typical elements of the range have the form ​T(x​) and ​T(w​) for some x and w in​ V.] What would be the most useful method of proving that the range of T is a subspace of​ W? A. Show that the three properties that define a subspace are satisfied by the vectors in the range of T. B. Show that there is a set of vectors that span the range of T. C. Show that the range of T must be all of W. D. Find a matrix such that the range of T is the column space of that matrix. E. Find a matrix such that the range of T is the null space of that matrix. F. Show that all ten axioms for a vector space are satisfied by the vectors in the range of T.

Step-by-step explanation: