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Let A be an n x n matrix such that A^2 + A^2 = 0. Show that (A^2 + A + I)^-1 = (A^2 - A + I)?

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  • Let A be an n x n matrix such that A^2 + A^2 = 0. Show that (A^2 + A + I)^-1 = (A^2 - A + I)?


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