26. Find a basis for H and determine the dimension of H. 52 18 3 9 3 Let H = span 2 7 4 10 35 20 6 17 52 18 [1 0 3 0 Note: If H = - 1 3 9 3 0 120 the reduced-row-echelon form of H is 1 2 7 4 5 10 10 35 20 001 0 0 0 0

Find graph from adjacency matrix

Find d/dx (5log2(x)+18)

Let D be the 11-ary code of length 10 defined as the linear span of (1,4, 1, 2, 1, 4, 2, 6, 4,0) and (10,7,7,9,0, 6, 4, 0,9,6). Show that D is a subcode of a cyclic code of dimension 8.

find the adjacent matrix not the adjacent list

5 variable map (pls show step by step solution)

Given the function F(A, B, C, D) = Σm(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)

5, 6

Find L and U   Using python3  3X3 Matrices  a) by using doolittle's decomposition in Python3 language   A= LU=  [4,-1,0], [-1,4,-1], [0,-1,4]

Explain what is Euler number o(m) for a natural number m > 1. Give a proof of Euler Theorem, whose proof you could write down straightforward by generalising that of Fermat little Theorem. (cf. the handout on Moodle Topic 12).