The vector spaces and are isomorphic. (Recall that denotes the vector space of all linear transformations from into

Question

The vector spaces  and  are isomorphic. (Recall that  denotes the vector space of all linear transformations from  into

Quizplus · Accepted Answer

The fact that the vector spaces 11edaba5_209f_7d14_a975_37041989fe82_TBMC1039_00 and 11edaba5_209f_7d15_a975_4b0ee832ba24_TBMC1039_00 are isomorphic means that they have the same dimension and the same algebraic structure. This implies that their corresponding space of linear transformations, which is 11edaba5_209f_7d16_a975_69f6f5f46f6e_TBMC1039_00, must also be isomorphic. Therefore, the statement is true.

The Vector Spaces and Are Isomorphic