Consider the system of linearequations:
3? − 5? + 2? = 2
2? − ? + 3? = 3
? + 4? + 7? = 4
(a) Write the augmented matrix for the abovesystem.
(b) Find the inverse of the coefficientmatrix.
(c) Find the determinant of the coefficientmatrix.
(d) Find the LU-factorization of the coefficientmatrix.
(e) Solve the above system using Gauss-Jordanelimination.
(f) Use the inverse of the coefficient matrix frompart (b) to solve the above system
. (g) Solve the above system using the lower and uppertriangular matrices found in part (d).
(h) Solve the above system using Cramer’srule.
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