Engineering Calculus Notes 242

Engineering Calculus Notes 242 - 230 CHAPTER 3. REAL-VALUED...

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230 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION (c) ( −→ ı ) = 3, ( −→ ) = 4, p −→ k P = 5. 2. Is there a linear function : R 3 R for which (1 , 1 , 1) = 0 (1 , 1 , 2) = 1 (2 , 0 , 3) = 2? Why or why not? Is there an afne function with these values? If so, give one. Are there others? 3. If : R 3 R is linear and (1 , 1 , 1) = 3 (1 , 2 , 0) = 5 (0 , 1 , 2) = 2 then (a) Find ( −→ ı ), ( −→ ), and p −→ k P . (b) Express ( x,y,z ) as a homogeneous polynomial. (c) Express ( −→ x ) as a matrix multiplication. (d) Express ( −→ x ) as a dot product.
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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.

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