Eigen functions corresponding to different eigen value are _______.
A) Linearly independent
B) Linearly dependent
C) Real
D) Orthogonal
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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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