MathAlgebraLinear algebraMatrix decomposition

Diagonalizing matrices

Distinct eigenvalues

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Suppose $A$ is an $n \times n$ matrix. Select all true statements.

Select one or more options from the list

A

is diagonalizable, then

A

has

n

distinct eigenvalues.

A

has only one eigenvalue, it is diagonalizable

A

has only one eigenvalue, it is not diagonalizable

A

has

n

distinct eigenvalues, then

A

is diagonalizable.

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