Question

Eigen functions corresponding to different eigen value are _______.

A) Linearly independent

B) Linearly dependent

C) Real

D) Orthogonal​

Answer 1

Answer

B) Linearly independent

Explanation

Eigenvectors corresponding to distinct eigenvalues are linearly independent. As a consequence, if all the eigenvalues of a matrix are distinct, then their corresponding eigenvectors span the space of column vectors to which the columns of the matrix belong.

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