HW3 - A = A[Hint when writing Ax = λx think about taking the dot product on both sides with a judiciously chosen vector e.g x for part a 4

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Math 104 Fall 2009 Homework 3 Due Wednesday, October 14, 2009 1. Fill in the missing words: if AB = 0 then the columns of B are in the of A , and the rows of A are in the of B . 2. Find the matrix Q corresponding to the orthogonal projection onto the linear space spanned by 1 1 1 and 1 0 1 . 3. Exercise 2.3, Chapter 2 of Trefethen-Bau (a Hermitian matrix is a matrix obeying
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Unformatted text preview: A * = A ). [Hint: when writing Ax = λx , think about taking the dot product on both sides with a judiciously chosen vector, e.g. x for part a)?] 4. Exercise 2.6, Chapter 2 of Trefethen-Bau. 1...
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This document was uploaded on 12/05/2010.

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