9: In the steepest descent method the vectors (Xk+1-X) and (Xk+2-Xk+1) are orthogonal for each k. If X₁ = -1. 2X₂: X3 = 0 and X4 = -1 -1 [4] Then the values of t and s are: A: 2 and 2 B: -1 and 10 C: 10 and -1 D: 1 and 10 O A О в O O D
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- Let A =[ 4 -1 2 , -1 8 3 ,1 -2 5 ] b=[1 ,-2,3] and initial vector x 0=[0,0,0,0] perform two itearation of the gauss seidel method10.Suppose that each of the vectors x(1), …, x(m) has n components, where n < m. Show that x(1), …, x(m) are linearly dependent. In each of Problems 11 and 12, determine whether the members of the given set of vectors are linearly independent for −∞ < t < ∞ . If they are linearly dependent, find the linear relation among them.Construct a model for the number of cats, y, after x months that make use of the following assumptions: 1. It begins with two cats – one female and one male, both unneutered. 2. Each litter is composed of 4 kittens – 3 males and 1 female. 3. It takes four months before a new generation of cats is born. 4. No cat dies (all are healthy) and no new cats are introduced.
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