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# help

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A matrix A is idempotent if $$\mathbf A^2 = \mathbf A$$ What are the possible values of $$\det\mathbf A$$?

Apr 13, 2020

If $$\mathbf A^2 = \mathbf A$$, then $$\left(\det \mathbf A\right)^2 = \det \mathbf A$$,
which means $$\det \mathbf A$$ = 0 or 1