Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u,, u2, u3, U4, and us. Then verify your solution. (Enter your answer in terms of u,, u2, U3, U4, and u5.) v = (7, 5, –11, 14, 6) u1 = (1, 2, -3, 4, –1) U2 = (1, 2, 0, 2, 1) Uz = (0, 1, 1, 1, -4) U4 = (2, 1, -1, 2, 1) u5 = (0, 2, 2, -1, -1) v =
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- Consider the elliptic curve group based on the equation ?2≡?3+??+?mod? where ?=2, ?=11, and ?=17. In this group, what is 2(4,7)=(4,7)+(4,7)? In this group, what is (4,10)+(6,1)? What is the inverse of (6,16) (with entries in ℤ17)?Write a Java program that checks whether the relation of a matrix is reflexive, irreflexive, symmetric, anti-symmetric, asymmetric and transitive. (and get the square matrix)a. Build an adjacency matrix ? for this map. b. How many paths of length 2 from V5 to V1 exist? c. How many paths of length 3 from V5 to V1 exist?
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