Consider the matrix A=(1101)A = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}A=(1011). Which property does this matrix possess?
It is diagonalizable over R\mathbb{R}R.
It is not diagonalizable because its geometric multiplicity is less than its algebraic multiplicity.
It has two distinct eigenvalues.
It is similar to (1002)\begin{pmatrix} 1 & 0 \\ 0 & 2 \end{pmatrix}(1002).