Let A be n x n matrix that has zeros on the main diagonal and ones everywhere else. An example of a 4 × 4 matrix of this type is given below [0 1 1 1° |1 0 1 1 |1 1 0 1 1 1 1 0 3a)Compute det(A) and A-1 for n = 2, 3, 4. 3b) Note that in the cases n = 2, 3, 4 the matrix A¬1 has a special structure (all the elements on the diagonal are the same and all the off- diagonal elements are also the same). Guess a formula for A¬1 in the general case (or arbitrary 1n) and verify that your guess is correct by checking that AA¬1 = I.

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