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

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

cdquestions Admin · Accepted Answer

Statement I is false but statement II is true

The Correct Option is D

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