Q.4).Let S={V1, V2, V3, V4} where v1 =(1,2,0,3,4). v2=(3,2,8,1,4), v3=(2,3,7,2,3), v4=(1,2,0,4,2) and let V be the subspace of R5 given by V= span Si).Find the basis for V.ii).Find a basis for the row space of the matrix A defined in the above solution. Also compute the row rank of the matrix A.iii).Find a basis for the column space of the matrix A defined in the solution and also compute thecolumn rank of the matrix A.Q.5).Use LU-decomposition to find inverse of A=[25 5 1 64 8 1 144 12 1].

Q.4). Let S = [V1, V2, V3, V4] where V, = (1, -2,0,3,-4) V2 = (3,2,8,1,4) , V3 = (2,3,7,2,3) V. = (-1,2,0,4, -2)and let V be the subspace of R's given by V = Span S i).Find the basis for V. ii).Find a basis for the row space of the matrix A defined in the above solution. Also compute the row rank of the matrix A. iii). Find a basis for the column space of the matrix A defined in the solution and also compute the column rank of the matrix A. (3+3+3) 25 5 Q.5).Use LU-decomposition to find inverse of A = 64 8 (10) 144 12