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# assign2 - MATH 235/W08 Determinants Assignment 2 due by...

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Unformatted text preview: MATH 235/W08 Determinants Assignment 2 due by 9:30 am on Wed. Jan. 23/08. Hand in questions 1,2,3,4,5,6,7,8 1. Evaluate the determinants of the following matrices: (a) 1 i 1 + i 2- i 3- 1 + i 3 1- i (b) 2 3 π 1- 1 . 56- 1 . 58 4 . 34 4 9 102 (c) a b c 2 a + 3 d 2 b + 3 e 2 c + 3 f d e f , where a, b, c, d, e, f ∈ C . (d) 6- 1 9 3 2 3 7 8 3 2 9 4 5 5 1 2. Find the value of the determinants of the following matrices. Explain your answer in terms of cofactor expansion: (a) 1- 1 1- 1 1 (b) The 100 × 100 matrix A below: A = ··· 1 ··· 1 . . . . . . . . . . . . 1 ··· 1 ··· The ij th entry of A is 1 if i + j = 101; all other entries are 0. 3. Evaluate the following determinants by row-reducing to an upper trian- gular matrix: (a) 1 1 1 1 1 1 4 4 1- 1 2- 2 1- 1 8- 8 (b) 1 2 3 2 6 6 1- 1 3 2 5 (c)...
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assign2 - MATH 235/W08 Determinants Assignment 2 due by...

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