2. Use Warshall's to get the transitive closure for the following graph. Show all 5 R matrices, including RD: Rºa b 200 a b с d R² a b e lo lo с d a C d b c d R¹ a b a b с d R³ alo а b C d с d abcd ↑ Ra b с a b с d d

Given vectors :u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4)4.1 Calculate the following dot products:u.v ; (u.v).w ; u.(3w) , u.(w-v)4.2 Calculate‖?‖ ; d(u,v) ; ‖? − ?‖24.3 u and v are they orthogonal4.4 u and w are they orthogonal4.5 find c real number that satisfy q = c.u4.6 Deduce that q and u are parallel4.7 Normalize vector w

don't use others answers

PYTHON -LU factorization  (please see attached image for full question).

Q3/ Give A B and AB for the following set ( 0 ° 0 0 0 1 1 1 0 1 1 1 0 1 1 1 O ° 0 0 O O 0 0 Input matrix Structuring element

True or False The inverse of a matrix M can be calculated in Python with the command Inverse=np.linalg.inv(M)

Note: It`s C++ coding

Question 5 Refer to the following graph and choose the option that reflects the row for node 3 of the D(2) matrix generated by the Floyd-Warshall Algorithm. If you are solving this programmatically, be careful about zero-based indices in most languages. The graph below has 1-based indexing. 1 O 32042-8 3 O-42 327620 -5 Infinity O 87 Infinity 9 0 Infinity O 0204-1-8 10 5 -8