Tutorial 6

Tutorial 6 - π 8 What is z 2 w(a 1 √ 2(1 i(b 1 √...

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Tutorial 6 MATH 1104 1-Last name: First name: 2-Last name: First name: 3-Last name: First name: 4-Last name: First name: 5-Last name: First name: ——————————————————————————- 1: Let A = 5 - 2 1 3 . (i): Find al eigenvalues and their corresponding eigenvectors for A . (ii): Diagonalize A . 2: Let z = cos( π/ 16) + i sin( π/ 16) and w = cos( π/ 8) + i sin(
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Unformatted text preview: π/ 8). What is z 2 w ? (a) 1 √ 2 (1 + i ) (b) 1 √ 2 (1-i ) (c) 1 + i (d) 1-i (e) 1 3: What is the standard form of the complex number 3-4 i 1-2 i ? (a) 1-3 i (b) 2 5 + 11 5 i (c) 11 5 + 2 5 i (d) 2 5-11 5 i (e) 11 5-2 5 i 4: What is (1 + √ 3 i ) 3 ? (a) √ 3(1+ i ) (b) 1 √ 3 (1-i ) (c) 1-i (d) 1+ i (e)-8 1...
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This note was uploaded on 03/22/2010 for the course MATH 1104 taught by Professor Unknown during the Fall '10 term at Carleton.

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