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Let \(A\) be a real square matrix satisfying \(A^{17}=0\).

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Let \(A\) be a real square matrix satisfying \(A^{17}=0\).

a) Show that the matrix \(I-A\) is invertible.
b) If \(B\) is an invertible matrix, is \(B-A\) also invertible? Proof or counterexample.
in Mathematics by ♦ Platinum (129,882 points) | 181 views

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