EC > GATE 2023 > Linear Algebra
Let the sets of eigenvalues and eigenvectors of a matrix B be {λk|1 ≤ k ≤ n} and {vk|1 ≤ k ≤ n}, respectively. For any invertible matrix P, the sets of eigenvalues and eigenvectors of the matrix A, where B = P-1AP, respectively, are
A
{λk det(A)|1 ≤ k ≤ n} and {Pvk|1 ≤ k ≤ n}
B
{λk|1 ≤ k ≤ n} and {vk|1 ≤ k ≤ n}
C
{λk|1 ≤ k ≤ n} and {Pvk|1 ≤ k ≤ n}
D
{λk|1 ≤ k ≤ n} and {P-1vk|1 ≤ k ≤ n}

Correct : C

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