Find the basis for an eigenspace using spectral theorem Suppose that a real, symmetric 3 x 3 matrix A has two distinct eigenvalues λ1 and λ2. If
v1 = [-1]
[0]
[-2]
v2 =
[-1]
[1]
[-2]
are an eigenbasis for the λ1-eigenspace, find an orthonormal basis for the 12-eigenspace. You may use a scientific calculator.