in Linear Algebra retagged by
0 votes
0 votes

Let the eigenvalues of a $2 \times 2$ matrix $A$ be $1, -2$ with eigenvectors $x_{1}$ and $x_{2}$ respectively. Then the eigenvalues and eigenvectors of the matrix $A^{2}-3A+4I$ would, respectively, be

  1. $2, 14; x_{1}, x_{2}$
  2. $2, 14; x_{1}+ x_{2}, x_{1} - x_{2}$ 
  3. $2, 0; x_{1}, x_{2}$
  4. $2, 0; x_{1}+ x_{2}, x_{1} - x_{2}$
in Linear Algebra retagged by
9.3k points

Please log in or register to answer this question.

Welcome to GATE Overflow, Electrical, where you can ask questions and receive answers from other members of the community.