Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Eigenvalues and Eigen Vectors
Given below are two statements
Statement I : If \(\rm A=\begin{bmatrix}2&2\\\ 1&3\end{bmatrix}\) then sum of eigenvalues of A is 3.
Statement II : If λ is an eigenvalue of T, where T is invertible linear operator, then λ-1 is an eigenvalue of T-1
In the light of the above statements . choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but statement II is false
4
Statement I is false but statement II is true