Diagonalization of matrix 1,1,1,1 Diagonalization of matrix (1,1) 1 1 zai xian deng!

Diagonalization of matrix 1,1,1,1 Diagonalization of matrix (1,1) 1 1 zai xian deng!

Let the original matrix be a
Eigenvalue 2,0
2 corresponding eigenvector (1,1) t, unit α 1 = (√ 2 / 2, √ 2 / 2) t
0 corresponding to the eigenvector (1, - 1) t, the unit α 2 = (√ 2 / 2, - √ 2 / 2) t
So matrix C = (α 1, α 2)
(CT)AC=B
B is a diagonal matrix with 2,0 elements on the diagonal
T: The meaning of transpose~