A = ⎣ ⎡ 1 4 7 2 5 8 3 6 9 ⎦ ⎤ ; B = ⎣ ⎡ a d g b e h c f i ⎦ ⎤ ; C = ⎣ ⎡ 1 a 4 d 7 g 2 b 5 e 8 h 3 c 6 f 9 i ⎦ ⎤
The 3 × 3 matrices A & B consist of distinct digits from 1-9, denoted as a to i in B , and the determinant of each matrix equals to 0. On the other hand, the matrix C is constructed by adding each of B's digits next to A's at the same position ( C = 10 A + B ), creating new 2-digit numbers with the following conditions:
What is the value of a b c d e f g h i ?
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