In each of the following, factor the matrix A into a product xDx$^(-1),$ where D is diagonal: $($a$)$ A$=([0,1],[1,0])($b$)$ A$=([5,6],[-2,-2])($c$)$ A$=([2,-8],[1,-4])($d$)$ A$=([2,2,1],[0,1,2],[0,0,-1])($e$)$ A$=([1,0,0],[-2,1,3],[1,1,-1])($f$)$ A$=([1,2,-1],[2,4,-2],[3,6,-3])$For each of the nonsingular matrices in Exercise $1,$ use

the XDX$1$ factorization to compute A$1.$