Let U, V and W be vector spaces over the same field. a) 1 Marks Define what it means for the function L:U - V to be an i

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Let U V And W Be Vector Spaces Over The Same Field A 1 Marks Define What It Means For The Function L U V To Be An I 1 (49.06 KiB) Viewed 25 times

Let U, V and W be vector spaces over the same field. a) 1 Marks Define what it means for the function L:U - V to be an isomorphism. b) 1 Mark Define what it means for the vector spaces U and V to be isomorphic. c) 8 Marks Use your definition to carefully show that if U is isomorphic to V and if V is isomorphic to W then U is isomorphic to W. If you are using results from the notes or an assignment at any point in your proof then say so at that point.