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

Similar Questions

As you grow older, an injury to your _________ may take longer to _________.
#3 MCQ
In a 500 m race, P and Q have speeds in the ratio of 3 ∶ 4. Q starts the race when P has already covered 140 m. What is the distance between P and Q (in m) whe...
#4 MCQ
Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes. If all the thr...
#5 MCQ

Related Topics

eigenvalue matrix determinant GATE Electrical Engineering 2026 electrical engineering gate common eigenvalue determinant matrix matrix eigenvalue problem GATE 2026 electrical gate matrix determinant equation

Unique Visitor Count

Total Unique Visitors

Loading......