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Find the smallest (in absolute value) eigenvalue using

Find the smallest (in absolute value) eigenvalue using

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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(а) Given -1 2 3 A =| 2 1 -1 1 -1 -1 1 4 Find the smallest (in absolute value) eigenvalue using inverse power method. Take y0) = [0 1 1]. (b) ди Given the heat equation 0<x< 4, t > 0 with the boundary conditions u(0,t) = 1² Int and u(4,t) = r² for t>0 and the initial conditions, х, 0<x< 2, и (х.0) - (4-x, 2<x< 4. By taking h = Ax = 1, k = At = 0.2 and a =1, solve the heat equation up to second level using implicit Crank-Nicolson method.
Transcribed Image Text:(а) Given -1 2 3 A =| 2 1 -1 1 -1 -1 1 4 Find the smallest (in absolute value) eigenvalue using inverse power method. Take y0) = [0 1 1]. (b) ди Given the heat equation 0<x< 4, t > 0 with the boundary conditions u(0,t) = 1² Int and u(4,t) = r² for t>0 and the initial conditions, х, 0<x< 2, и (х.0) - (4-x, 2<x< 4. By taking h = Ax = 1, k = At = 0.2 and a =1, solve the heat equation up to second level using implicit Crank-Nicolson method.
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