# Past Exam for AOE 2074 - Computational Methods at Virginia Tech (VT)

## Exam Information

 Material Type: Exam 2 Professor: Staff Class: AOE 2074 - Computational Methods Subject: Aerospace and Ocean Engineerin University: Virginia Polytechnic Institute And State University Term: Fall 2007 Keywords: Provided ThatThe IndependentCoefficient MatrixDecompositionEliminationDeterminantIdentity MatrixMatrix InverseDifferentiationEngineering      ## Sample Document Text

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 don’t use Cramer’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] ,  4 B = , 1 �...

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