Question: 25. Let A be a k x k nonsingular matrix, let a be a k x 1 vector, and let be a scalar such

25. Let A be a k x k nonsingular matrix, let a be a k x 1 vector, and let α be a scalar such that α > a'A-1a ≥ 0. Show that the matrix B is nonsingular when B is defined by

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