Question $=3$:

For the folkowing matrix $A=|[0\mathrm{.}4,0\mathrm{.}2],[0\mathrm{.}6,0\mathrm{.}8]|$

$1-$Diagonalize $A($apply eigenvalue decomposition findrhe eigenvalues matrix A the eigenvectors matrix $S).$

$2.$ What is $A$ of $A^t$ and $A^{-1}?$

$3.$ final $A^{10}$

$4-$what are the eigen value of the matrix B$=$I$-2$A where I idenity matrix of an appropriate dimenitions?

$5-$the matrix A has a famous name what is A called?and what do the entries of A represent?