1.4.22 Matrix Transformations

Condition: given the matrix \ (a = \ left (\ begin {array} {ccc} 1 & 2 &2 &2 &1 & 2 & -2 & 2 & 2 &2 \ END {Array} \ RIGHT): A) Find the own values of the matrix \ (A \); b) find the own vectors of the matrix \ (a \); c) find out whether the matrix \ (a \) the diagonal matrix is like and, if similar, then find the matrices \ (c \) and \ (d (d- \) diagonal matrix) such that \ (a = c d c^{- 1} \).