Question 6.4.26: This A is nearly symmetric. But its eigenvectors are far fro...

Introduction to linear Algebra [EXP-672]

This A is nearly symmetric. But its eigenvectors are far from orthogonal:

$A =\begin{bmatrix} 1 & { 10 }^{ -15 } \\ 0 & 1+{ 10 }^{ -15 } \end{bmatrix} \quad$ has eigenvectors $\quad \left[ \begin{matrix} I\\0 \end{matrix} \right] \quad [?]$

What is the angle between the eigenvectors?

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