Math 210-01: Linear Algebra: Reading Homework 2.4
- Elementary Matrices : what do we see in this section?
- Elementary Matrices (Def) : what is the definition of an elementary matrix? give two examples of 2x2 elementary matrices
- elementary matrices and row operations : how are elementary matrices related to elementary row operations? give a 3x3 elementary matrix to swap the first and third rows of a 3xn matrix.
- row reduction and elementary matrices : how can we row reduce using elementary matrices? is the order of operations significant? (is the order in which the row operations in row reduction significant? explain)
- Elementary Matrices and Invertibility : how are elementary matrices and matrix invertibility related? why are there two parts to the theorem on this subject?
- Systems and Matrices : what five statements are introduced as equivalent by the book?
- LU-Factorization : what is LU-factorization? why is it useful?
- finding LU-factorizations : when does a matrix have an LU-factorization? how can it be found?
- LU-factorization and linear systems : how can the LU-factorization of a matrix be used to solve a linear system?
Math 210-01: Linear Algebra: Reading Homework 2.4
Last Modified: Thu Jan 28 20:26:38 1999
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