a. Show that an A-orthogonal set of nonzero vectors associated with a positive definite matrix is linearly

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a. Show that an A-orthogonal set of nonzero vectors associated with a positive definite matrix is linearly independent.
b. Show that if {v(1), v(2), . . . , v(n)} is a set of A-orthogonal nonzero vectors in R and ztv(i) = 0, for each i = 1, 2, . . . , n, then z = 0.
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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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