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mhchen:
Show that if a square matrix A satisfies: A^2 + 2A + I = 0 Then A is invertible.
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mhchen:
Definition of "invertability" A(A^-1) = I = (A^-1)(A)
mhchen:
Solved: I factored out A: I = -2A - AA = A(-2I - A) So (-2I - A) is the inverse of A.
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