Math21_Review2_S11

Math21_Review2_S11 - Math 21 Review 2 Spring 11 1 Define A...

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Unformatted text preview: Math 21 - Review 2 - Spring 11 1.) Define A = - 3 6- 1 1 1- 2 2 3 2- 4 5 8 and b = - 7- 1- 4 . Express the solution set of Ax = b as a translate of null( A ). 2.) Define T : R 4 → R 5 by T x y z w = z- 3 y 2 x + w y- z w- 2 y z- x . (a.) Verify that T is a linear transformation. (b.) Find the standard matrix of T . 3.) Define A = - 1 3 1- 2 2 1- 1- 2 3 1 . Find T A 2- 1 3 . 4.) Find each product. (a.) 2- 1 3 1 2 ¶ - 1 2 3 1- 2 2 1 (b.) 1- 1 2 1 3- 1- 2 2- 1 1 3- 2 5.) Determine if the given matrix is invertible. Find its inverse if it is. (a.) 1 2 3 2 1 2 3 3 5 (b.) 2 1 1 3 2 1 2 1 2 6.) Let A = 2 3 1 4- 1 2 3- 2 . (a.) Verify that A is invertible....
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Math21_Review2_S11 - Math 21 Review 2 Spring 11 1 Define A...

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