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Consider the n x to matrix U given by 0 0 9 45 9(5)'3 225 1050 5400 27000 1090(5)2 u 9 45 225 1125 9(5)1
Consider the n x to matrix U given by 0 0 9 45 9(5)\"'3 225 1050 5400 27000 1090(5)\"2 u 9 45 225 1125 9(5)\"1 0 0 0 9 9(5)\"4 0 0 0 0 9 The determinant of this matrix is obtained by applying standard row operations one at a time. In particular. your lriends Harley and Catherine found that 0 0 9 45 9(5)\"3 225 1090 5400 27000 1090(5)\"2 9 45 225 1125 - .- 9(5)\"1 det(U)= 4 0 0 0 9 9(5)" 0 0 0 0 9 9 45 225 1125 -- - 9(5)\"1 225 1080 5400 27000 1090(5)\"2 0 0 9 45 9(5)\"3 =3 0 0 0 9 9(5)\"4 0 0 0 0 9 9 45 225 1125 9(5)"1 45 210 1080 5400 215(5)"2 5 0 0 9 45 9(5)\"3 =0. 0 0 0 9 9(5)\"'4 0 0 0 0 9 9 45 225 1125 9(5)\"1 0 9 45 225 9(5)\"2 0 0 9 45 95113 20:64: ( ) 4 zabcd, 0 0 0 9 9(5)" 0 0 0 0 9 where every entry on the diagonal ol the matrix in the last line is 9, and every entry below the diagonal is 0. even those entries not shown. What are the values ol a, b, c and a! above? Enter your values as exact values or simple algebraic expressions {in correct Maple syntax), possibly in terms of n. 0: lg . b= a c @ . 4 Is
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