Question: 1. Prove that for all n E N, if A is a n x n triangular matrix then |A| = II-qui. 2. Characterize the solution

1. Prove that for all n E N, if A is a n x n triangular matrix then |A| = II-qui. 2. Characterize the solution for the following system of equations. 10x1 + 2x2 + 4x3 = 7 C1 - 02 - 8x3 = 3 6x1 + 2x2 - 8x3 = Q where a E R. Are there values of a such that there exists no solution

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