Prove Theorem 4.2. [A proof by induction would be appropriate here.] In theorem 4.2 The determinant of

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Prove Theorem 4.2. [A proof by induction would be appropriate here.]
In theorem 4.2
The determinant of a triangular matrix is the product of the entries on its main diagonal. Specifically, if A = [aij) is an n × n triangular matrix, then
det A = a11 a22 ··· ann
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