A linear map is represented by

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Linear algebra and vector spaces · Linear algebra and vector spaces

Conditions of Validity, Ch The spectral theorem, degeneracy and the matrices that will not diagonalise

Problem

A linear map is represented by A=(0340)\mathsf{A}=\begin{pmatrix}0&3\\4&0\end{pmatrix}. Calculate its singular values and its condition number κ=σmax⁡/σmin⁡\kappa=\sigma_{\max}/\sigma_{\min} in the Euclidean norm.

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