**Unformatted text preview: **. 4. Find the inverse of the following n × n matrix: A = 1 0 0 ... 1 2 0 ... 1 2 3 ... . . . . . . . . . 1 2 3 ... n . [ Hint : Use the algorithm for the case 3 × 3 or 4 × 4, guess the answer for the n × n matrix and prove it is indeed A-1 .] 1...

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