Question: Consider the n x 12 matrix U given by 3 3 3 13 3(3)3 33 33 233 334 33(3}2 U 3 13 34 132 3(3)1


Consider the n x 12 matrix U given by 3 3 3 13 3(3)\"3 33 33 233 334 33(3}\"2 U 3 13 34 132 3(3)\"1 _ 3 3 3 3 3(3)\"4 3 3 3 3 3 The determinant of this matrix is obtained by applying standard row operations one at a time. In particular, it is found that 3 3 3 13 3(3}"3 33 33 233 334 3~3[3}\"'2 dam} = 13 34 132 --- (3}"\"1 3 3 3 3 3(3}"4 3 3 3 3 3 3 13 34 132 3(3}\"1 33 33 233 334 33.13)\"2 _ 3 3 3 13 3(3)\"3 _a 3 3 3 3 3333\"\"1 3 3 3 3 - 3 3 13 34 132 3(3}\"1 13 43 144 432 43(3)\"2 :33 3 3 3 13 3(3}\"3 3 3 3 3 3(3}\"4 3 3 3 3 3 3 13 34 132 3(3)1 3 3 13 34 3(3)\"2 =43 3 3 3 13 3(3)\"3 2 1 3 3 3 3 3(3)\"4 where every entry on the diagonal of the matrix in the last line is 6, and every entry below the diagonal is 0, even those entries not shown. What are the values of a, b, c and d above? Enter your values as exact values or simple algebraic expressions (in correct Maple syntax), possibly in terms of n. a = b = C = d =
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