Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Matrix Representation of Linear Transformations
Which of the following matrices is not diagonalizable over ℝ?
1
\(\left[\begin{array}{lll} 1 & 1 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 1 \end{array}\right]\)
2
\(\left[\begin{array}{lll} 1 & 1 & 0 \\ 0 & 2 & 1 \\ 0 & 0 & 3 \end{array}\right]\)
3
\(\left[\begin{array}{lll} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 2 \end{array}\right]\)
4
\(\left[\begin{array}{lll} 1 & 0 & 1 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{array}\right]\)