The linear system 1 X| + -X2 1 1 A* + 3 12 has solution (xj, xa)' = (1/6, 1/7)'. a. Solve the linear system using Gaussian elimination with two-digit rounding arithmetic. b. Solve the linear system using the conjugate gradient method (C = C - ' = /) with two-digit rounding arithmetic. c. Which method gives the better answer? d. Choose C -1 = T)_,/2 . Does this choice improve the conjugate gradient method?
Calc III Lec Day 6 9/12/16 Ch. 12.1 Vector-Valued Functions and Curves in Space: Definitions and Examples 1. Vector-valued functions consist of a domain and a rule a. Domain: a collection of numbers for which the functions are valid b. Rule: Combination of functions and transformations that assign each number in the domain one and only one vector c. Are described by i. d. Range: the collection of all vectors assigned by a vector- value function to its domain e. Real-valued function: a function whose domain and range are sets of real numbers i. Every vector valued function corresponds to multiple (for this class, 3) real-valu