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Consider the system of linear equations: 24 +7 - 2 - 5 x + 3y - 48 Ax + 9y - 2 - (1) Using

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Consider the system of linear equations: 24 +7 - 2 - 5 x + 3y - 48 Ax + 9y - 2 - (1) Using the method of Gaussian elimination, compute the numerical values of the unknowns T, y, z. (20 points) I (2) Cast the above system of equations in the generic matrix form [A][X] = [b]; identify explicitly the matrices and solve for the elements of the unknown matrix X| via inversion. (15 points) (3) Use Cramer's rule to determine the solutions to the variables r, y, z. (15 points)

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