Math / Linear Algebra with Applications 8 / Chapter 4.8 / Problem 17

Linear Algebra with Applications | 8th Edition | ISBN: 9781449679545 | Authors: Gareth Williams

Let T: U U. Let u be an arbitrary vector in U, v be a fixed vector in U, and 0 be the

Chapter 4, Problem 17

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Let T: U U. Let u be an arbitrary vector in U, v be a fixed vector in U, and 0 be the zero vector of U. Determine which of the following transformations are linear. Find the kernel and range of each linear transformation. (a) T(u) = Su (b) T(u) = 2u + 3v (c) T{u) = u (This is called the identity transformation on U.) ( d) T ( u) = 0 (This is called the zero transformation on U.)

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