Question

Given below are two statements
Statement I: If 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

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but statement II is false
• D. Statement I is false but statement II is true

Answer 1

Answer: (D)

Statement I is false but statement II is true

Answer 2

The correct option is(D):Statement I is false but statement II is true