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Consider the system of linear equations: 3? − 5? + 2? = 2 2? − ? + 3?...

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Advance Math

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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