2. Miscellaneous eigenvalue, eigenvector, and eigenspace questions (7 points each part, +1). (a) For the matrix A below,
Posted: Thu May 12, 2022 1:38 pm
2. Miscellaneous eigenvalue, eigenvector, and eigenspace questions (7 points each part, +1). (a) For the matrix A below, use the characteristic equation, det(A – \I) 0, to determine if 1 = 2 is an eigenvalue of A. Show your steps of justification. A= 2 4 1 -5 3 11 -3 0 13 (1) (b) For the eigenvalue 1 = -3 of B below, determine the corresponding eigenvector(s), and then indicate the dimension of the corresponding eigenspace. 0 B= -30 0 0 0 0 (2) 0 -3