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

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

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CHAPTER 6 MATLAB EXERCISES 6–1 CHAPTER 6 MATLAB EXERCISES 1. Find the kernel and range of the linear transformation given by for these matrices A. (a) (b) (c) (d) 2. Let B be the upper trianglular matrix generated by the MATLAB command Bt riu(ones(6)). Let and determine the rank and nullity of the linear transformation 3. Which of these linear transformations defined by are one-to-one? Which are onto? (a) (b) (c) 4. Let be a linear transformation. Let and be bases for and respectively. You can use MATLAB to find the matrix of T relative to the bases B and B 1 as follows. (a) Form the matrices B and B 1 whose columns are the given basis vectors. (b) Let A be the standard matrix of T. (c) Adjoin B 1 to AB to form the matrix (d) Use rref(C) to calculate the reduced row-echelon form of C. The matrix composed of the right-hand n columns of C form the matrix of T relative to the bases B and B 1. Use this algorithm to find the matrix of the following linear transformations relative to the given bases.
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Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 6 MATLAB - Linear Transformations

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