Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Algebra Matrix Representation of Linear Transformations
Let \(M=\left[\begin{array}{rrr} 0 & -1 & 0 \\ 1 & 2 & -1 \\ 1 & 1 & 3 \end{array}\right]\) Given that 1 is an eigenvalue of M, which of the following statements is true?
1
-2 is an eigenvalue of M
2
3 is an eigenvalue of M
3
The eigen space of each eigen value has dimension 1
4
M is diagonalizable
5
Question Not Attempted