Solve $Lx = b$ for $x$ when $b = (1, 1, 2)^T$.

Let $L$ be a $3×3$ symmetric matrix with eigenvalues $λ_1 = −1$, $λ_2 = −2$, and $λ_3 = −3$ and their corresponding egenvectors $v_1 = (1, 1, 1)^T$, $v_2 = (2, −1, −1)^T$, and $v_3 = (0, 1, −1)^T$ where $T$ denotes the transpose.

Solve $Lx = b$ for $x$ when $b = (1, 1, 2)^T$.

Note: this is the idea behind Sturm-Liouville series solutions of ODE boundary value problems.

Ordinary Differential Equations Partial Differential Equations Differential Equations
Chdogordon Chdogordon
153
Report

Answer

Answers can only be viewed under the following conditions:
  1. The questioner was satisfied with and accepted the answer, or
  2. The answer was evaluated as being 100% correct by the judge.
View the answer

1 Attachment

Martin Martin
1.6K
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to a 50% commission on every question that your affiliated users ask or answer.