Electrical Engineering > GATE 2026 > Eigenvalues and Eigenvectors
Two n × n matrices A and B have a common eigenvalue 2, and the same corresponding nonzero eigenvector.
Which of the following options is/are correct?
(Note: I is the n × n identity matrix.)
A
Determinant(A − 2I) = 0
B
Determinant(B − 2I) = 0
C
Determinant(A + B − 2I) = 0
D
Determinant(A + B − 4I) = 0

Correct : a,b,d

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