Question: 3. Show that if the n x n matrix A satisfies Ak = 0, then B = - - In A is invertible. Hint

3. Show that if the n x n matrix A satisfies Ak

3. Show that if the n x n matrix A satisfies Ak = 0, then B = - - In A is invertible. Hint find a matrix C such that BC CB = In. Hint: use algebraic identities similar to x y : (x y)(x + y). = =

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