Which of the following statements are true? Select all that apply.

Question

Which of the following statements are true?   Select all that apply.

Accepted Answer

A matrix can only be diagonalised if the algebraic multiplicity is equal to the geometric multiplicity for every eigenvalue

Accepted Answer

A matrix with all distinct eigenvalues is always diagonalisable

Answer

A matrix can only be diagonalised if the algebraic multiplicity of each eigenvalue is 1

Answer

A matrix can only be diagonalised if the geometric multiplicity of each eigenvalue is 1

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