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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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