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Mathematics Add in library

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Let A is an n×n matrix. Mark each statement True or False. Justify your answer. a If Av = λv for some vector v, then v is an eigenvector of A.
b If v1 and v2 are linearly independent eigenvectors, then they correspond to distinct eigenvalues.
c The eigenvalues of a matrix are on its main diagonal.
d An eigenspace of A is a null space of a certain matrix.

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