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Unformatted text preview: We saw in 3.2 that a linear real-valued function ( x ) can be expressed as multiplication of the coordinate column [ x ] of the input vector by a row of coecients; for R 2 , this reads ( x ) = b a 1 a 2 B x 1 x 2 = a 1 x 1 + a 2 x 2 = a 1 x + a 2 y while for R 3 it reads ( x ) = b a 1 a 2 a 3 B x 1 x 2 x 3 = a 1 x 1 + a 2 x 2 + a 3 x 3 . = a 1 x + a 2 y + a 3 z. Analogously, we can express any quadratic form as a three-factor product, using the basic matrix arithmetic which is reviewed in Appendix E . or...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08