Engineering Mathematics, Volume 2

Match the Following

Chapter 1 Eigenvalues and Eigenvectors

λi are eigenvalues of A and |A| ≠ 0 One of the eigenvalues of A is zero λi are eigenvalues of A and λi ≠ 0 for all i λi are eigenvalues of orthogonal matrix A A, B, P are n-square matrices |P| ≠ 0 and B=P–1AP D = [dij]is an n-square matrix with dij = 0 for i ≠ j Characteristic polynomials of A and A2are same Characteristic equation of A is λm = 0 A is orthogonal

A is singular 1 / λi are also eigenvalues of A A and B are similar |A | / λi are eigenvalues of Adj A A is nonsingular Characteristic polynomials of A and B are same dii are eigenvalues of D Characteristic equation of A is a reciprocal equation A is idempotent A is nilpotent with index m

Ans:

1. d;
2. a;
3. e;
4. b;
5. c;
6. g;
7. i;