Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 2 MATLAB - Matrices

Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 2 MATLAB - Matrices

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CHAPTER 2 MATLAB EXERCISES 2–1 CHAPTER 2 MATLAB EXERCISES 1. Enter the matrices and Use MATLAB to find (a) (b) (c) (d) 2. Enter the three matrices (a) Calculate Use the format long command to verify the result. Return to the standard short format with format short. (b) Calculate and Define what is meant by the inverse of a square matrix. What is the inverse of the matrix A ? Of the matrix C ? 3. Write the following system of linear equations in the form and use the MATLAB com- mand to solve the system. Check your answer using rref. 4. Enter the matrices and (a) Use the MATLAB command trace to find the traces of A, B, and What do you observe? (b) What is the relationship between the trace of AB and the trace of BA? 5. Use the MATLAB command diag to form the diagonal matrix D with diagonal entries 0, and Find the product If D is an diagonal matrix, describe how to find the product for any positive integer k. D k n 3 n D 4 5 DDDD . 2 4. 2 1, 2 2, 2 3, 5 3 5 A 1 B .
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This note was uploaded on 02/24/2012 for the course MATH 310 taught by Professor Staff during the Spring '08 term at VCU.

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Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 2 MATLAB - Matrices

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