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Unformatted text preview: vectors. Is the conjecture true? Prove your answer. Problem 6 Let U and W be vector subspaces of the vectorspace V. Dene the space U + W = { x  x = u + w , u U, w W } Show that U + W is a vector subspace of V. Problem 7 a) Let A be a symmetric (nxn) matrix with one or more negative eigenvalues. What can you say about the determinant of the matrix and its rank? b) Let A be symmetric (2x2) matrix. Is it true that A is indenite iF its determinant is negative. Explain your answer (No formal proof necessary)....
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This note was uploaded on 08/01/2008 for the course ARE 211 taught by Professor Simon during the Fall '07 term at University of California, Berkeley.
 Fall '07
 Simon

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