And think about subtracting off a variable amount lambda from each diagonal entry.

考虑从每个对角线元素中减去一个变量量。

And the way to interpret this is that all the basis vectors are eigenvectors, with the diagonal entries of this matrix being their eigen values.

解释这个的方法是所有的基向量都是特征向量 这个矩阵的对角线元素是它们的特征值。