# hw1 - MATH 343:001(11814 Applied Linear Algebra Fall 2009...

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MATH 343:001 (11814) Applied Linear Algebra Fall 2009 Homework 1 Due Wednesday, October 7 Assignment. You must turn in answers to the problems listed below from Chapters 1 and 2 AND to the MATLAB questions listed on the back. Basic Concepts in Chapter 1: row operations, lower-triangular, upper-triangular, pivot, Gaussian elimina- tion, Gauss-Jordan method, inverse, transpose, symmetric, identity matrix, singular, non-singular, permutation matrix. Basic Skills from Chapter 1: Find row-echelon form by Gaussian elimination. Find inverse of non- singular matrix by Gauss-Jordan method. Solve system of linear equations. Produce the LU factorization. Basic Concepts in Chapter 2: vector space, subspace, linearly dependent, linearly independent, span, ba- sis, dimension, row-echelon form, reduced row-echelon form, pivots, free variables, pivot variables, rank, row space, column space, nullspace, left nullspace, linear transformation. Basic Skills from Chapter 2:

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hw1 - MATH 343:001(11814 Applied Linear Algebra Fall 2009...

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