Menu Quickbooks Error.pdf Sunil Kumari_MATH271. X + Create - X tools Edit Convert Sign Find text or tools Q 1. Let $2 = ((x, y)x2 + y2 =1). Define the operation of addition on this set by taking (x, y) + (u, v) = (xu - vv, xy + yu). Prove that $2 is closed under this operation. (10 point e 2. Construct a 2x2 matrix and obtain the Hill cipher for a message built using seven distinct letters of English alphabet The total number of letters of the message matt aveand cation (10 point 3. M44 is a set of 4 X 4 matrices, whose trace equals 12. Construct two distinct vector spaces, which are isomorphic to the given set. Verify that the constructed transformations are isomorphisms. (10 point AM 07-29 8.50 G 12"C Q Search Clear