atlaz.ai
Example for diagonalisation:$$$$Let $A=\left[\begin{array}{cc}0 & -1 \\ 4 & 4\end{array}\right]$.$$$$ Determine Jordans normalform for $A$.
Example for singular value decomposition: $$$$Consider the complex matrix $A=\left[\begin{array}{cc}1 & 1 \\ -i & i \\ i & i\end{array}\right]$. $$$$ (a) Determine the singular values of $A$ $$$$ (b) Determine the right- and left singular vectors