Math / Elementary Linear Algebra with Applications 9 / Chapter 5.3 / Problem 37

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

Let C = [eii] be an II x II positive definite symmetric matrix and let V be an "

Chapter 5, Problem 37

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Let C = [eii] be an II x II positive definite symmetric matrix and let V be an " .dimensional vector space with ordered basis S = (UI. U2 ..... u,,). For v = "l UI + a2 u2+ +all u" and w = bj ul +b2 U2+ +b"u" " " III V deline (v. w) = L L iI,c'j bj Prove thm this dei=1 j =1 fines an inner product on V.

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Let C = [eii] be an II x II positive definite symmetric matrix and let V be an "

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