Question
Let x, y = R. Determine in each case below if (x, y) is an inner product for R. In case it is not
Let x, y = R". Determine in each case below if (x, y) is an inner product for R". In case it is not then indicate which axioms are not satisfied. n (a) * (x, y) = xi|yi| i=1 n (b) (x, y) = xyi (c) (x, y) = i=1 i=1 Ii TL i=1 1/2 (d) (x, y) = i=1 i=1 72 (e) f (x,y) = (x+y)-- i=1
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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