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AOE 2074: Computational Methods
Due: 10/23/2007, In Class
Midterm Exam 2
Name: _________________________________
Department: ___________________________
PID: ____________________________
Score: _________________________________
1. True or False? True False An identity matrix is a diagonal matrix. (0.3pt)
[1.8pt]
The 2-norm and Euclidean norm are identical for a vector, and also they are identical for a matrix, since a vector is only a special form of a matrix. (0.3pt) Gauss-Seidel will converge if and only if the system is diagonally dominant (0.3pt) It is necessary to have n independent linear equations to find a unique solution for n unknowns. (0.3pt) We donâ€™t use Cramerâ€™s rule for more than three equations because this rule cannot generate correct answer for more than three equations. (0.3pt) If the system is ill-conditioned, then small changes in the parameters result in large errors (0.3pt)
2
2. Matrix Operating Rules Three matrices are defined as: A = [ 2 3] , ï£® 4ï£¹ B =ï£¯ ï£º, ï£°1 ï...

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