sorry I thought it would look for similar questions after taking a picture. but it posted…

sorry I thought it would look for similar questions
after taking a picture. but it posted I also need help with these
questions plus what the picture had. Thank you!
d)deduce that the matrix A is invertible

e) solve the linear system S1 by Gauss Elimination

f) find the inverse A^-1 of A

g)deduce the solution of S1

h) find the LU decomposition of the matrix A

I) solve the linear system of equation S1 by using the LU

j) solve S1 by the CRAMER method

k) compare briefly these 4 approaches of solving S1

EXERCISE 1. (25 marks) Consider the system of linear equations (51) x + 2y + 32 = 8 S3 2 x + y + 6z = 10 ( 3x + 6y + 10 z = 26 a) Provide the associated matrix A of S1 and its transpose A b) Find the trace tr(A) of the matrix A c) Evaluate the determinant of matrix A