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