Given A=(2102)A = \begin{pmatrix} 2 & 1 \\ 0 & 2 \end{pmatrix}A=(2012), which of the following statements are true?
The algebraic multiplicity of λ=2\lambda=2λ=2 is 222.
The geometric multiplicity of λ=2\lambda=2λ=2 is 111.
The matrix is diagonalizable.
The only eigenvector associated with λ=2\lambda=2λ=2 is (10)\begin{pmatrix} 1 \\ 0 \end{pmatrix}(10).