Aerospace Engineering > GATE 2026 > Eigenvalues and Eigenvectors
For the matrix A = [a b; c d], if the relation a + b = c + d holds and a,b,c,d ≠ 0, then which one of the following statements about A is FALSE?
A
[1 1]T is an eigenvector
B
λ = a + b is an eigenvalue
C
λ = d − b is an eigenvalue
D
λ = d + b is an eigenvalue

Correct : d

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