2. Miscellaneous eigenvalue, eigenvector, and eigenspace questions (7 points each part, +1). (a) For the matrix A below,
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2. Miscellaneous eigenvalue, eigenvector, and eigenspace questions (7 points each part, +1). (a) For the matrix A below,
2. Miscellaneous eigenvalue, eigenvector, and eigenspace questions (7 points each part, +1). (a) For the matrix A below, use the characteristic equation, det(A - XI) = 0, to determine if X = 2 is an eigenvalue of A. Show your steps of justification. A = 4 8 2 -10 6 21 -6 0 26 (1) (b) For the eigenvalue X = -6 of B below, determine the corresponding eigenvector(s), and then indicate the dimension of the corresponding eigenspace. B -60 0 0 0 0 0 0 -6 (2)
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