LA7

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Show that $AA^*\,$ is self-adjoint.

Let $A^*\,$ be the adjoint of the matrix $A\,$ . Then, for the matrix $AA^*\,$

$(AA^)^\,$	$= (A^)^A^* \,$
	$= AA^*\,$

Therefore, $AA^*\,$ is the adjoint of $AA^*\,$ , or, in other words, $AA^*\,$ is self-adjoint.

Main Page : Linear Algebra

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