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Chapter 3 Matrices
After completing this chapter, students should be able to do the following.
Objectives
Perform addition and scalar multiplication of matrices.
Give the dimensions of a matrix product, and compute the product.
Discuss associativity and noncommutativity of matrix multiplication.
Compute the transpose of a matrix.
Compute the inverse of a matrix using elementary row operations.
Solve systems of linear equations using the inverse of the coefficient matrix, when possible.
Create elementary matrices corresponding to each of the elementary row operations
Solve a system of equations using LU factorization.
