Hi, can help solve this Matrix Question ?

Consider Matrix (N x N) square Matrix M such that the (c, d)_-thelement of M is given by :

M_c,d= ^-(c-1)(d-1),c = 1,2,3...............N ; d = 1,2,3,..............N

Given MatrixS ( 4 x 4 part)

Its44part is

11111i2i312i341i34i5

LetT=M S

a. Is T in its echlon form ? Compute determinant of T ?

b. Compute the matrix-vector productMx=bfor N = 4 whenx=[1 1 1 1]^T

Really appreciate for help. Thank you.