Question: Let A be the original matrix given in Exercise 16, and let Notice that A, B, and C are nearly the same except that the

Let A be the original matrix given in Exercise 16, and let

Notice that A, B, and C are nearly the same except that the first column of A equals the sum of the first columns of B and C. A linearity property of the determinant function, discussed in Section 3.2, says that det A = det B C det C. Use this fact to prove the formula in Exercise 16 by induction on the size of matrix A?

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