0
answers
0
watching
132
views
12 Nov 2019
Let U, V, and W be finite - dimensional vector spaces. Let B = { } be a basis for U, let C = { } be a basis for V, and let D = { } be a basis for W. Let S : U rightarrow V and T : V rightarrow W? linear transformations. Prove that: (Hint: Remember that is the unique matrix with the property that for all U, [T S( )]D = [T S] [ ] B. So if some matrix A has the property that for all U, [T S ]D = A , then it must be that A = [T S) .)
Let U, V, and W be finite - dimensional vector spaces. Let B = { } be a basis for U, let C = { } be a basis for V, and let D = { } be a basis for W. Let S : U rightarrow V and T : V rightarrow W? linear transformations. Prove that: (Hint: Remember that is the unique matrix with the property that for all U, [T S( )]D = [T S] [ ] B. So if some matrix A has the property that for all U, [T S ]D = A , then it must be that A = [T S) .)