Matrix/610024007/R/Diagonalization/Base change/Exercise

Show that the matrix

${\begin{pmatrix}6&1&0\\0&2&4\\0&0&7\end{pmatrix}}$

is diagonalizable over ${}\mathbb {R}$, and determine a basis consisting of eigenvectors. Perform the base change, yielding the describing diagonal matrix.

Create a solution