TIFR-2012-Maths-D: 33

Question

True/False Question:

The matrix  $\begin{pmatrix} 1 & \pi &3 \\ 0& 2&4 \\ 0&0 &3 \end{pmatrix}$ is diagonalisable.

Answer 1

Condition for daigonal matrix is all non daigonal elements should be zero(0).

In particular, if an n×n matrix A has n distinct eigenvalues, then A is diagonalizable.