Question

Which of the following are NECESSARY CONDITIONS for an n x n matrix A to be...

Which of the following are NECESSARY CONDITIONS for an n x n matrix A to be diagonalizable?

i) A has n distinct eigenvalues

ii) A has n linearly independent eigenvectors

iii) The algebraic multiplicity of each eigenvalue equals its geometric multiplicity

iv) A is invertible

v) The columns of A are linearly independent

NOTE: The answer is more than 1 option.

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