Assume that a 3 x 3 matrix A has eigenvalues 21 = 1,22=0.8, 23=0.6 With corresponding eigenvectors (2), v₂ = (³) och (⁹). (a) Which 3-vectors can be written as a linear combination of the three eigenvectors? (b) What Av1, A2, Av3 respectively Av? (n is an arbitrary integer) (c) What about Anv when n→→∞o? (It depends a little on the coefficients x1, x2, x3) V₁ = V3 =
Assume that a 3 x 3 matrix A has eigenvalues 21 = 1,22=0.8, 23=0.6 With corresponding eigenvectors (2), v₂ = (³) och (⁹). (a) Which 3-vectors can be written as a linear combination of the three eigenvectors? (b) What Av1, A2, Av3 respectively Av? (n is an arbitrary integer) (c) What about Anv when n→→∞o? (It depends a little on the coefficients x1, x2, x3) V₁ = V3 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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