Ans4 - Answers to Practice Problem Set#4 1(a √ 40(b vectoru 1 =(3 6 5 6 1 6 1 6 T vectoru 2 = − 1 2 1 2 − 1 2 − 1 2 T(c vectorw = 3 vectoru

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Answers to Practice Problem Set #4 1. (a) √ 40 (b) vectoru 1 = (3 / 6 , 5 / 6 , 1 / 6 , 1 / 6) T , vectoru 2 = ( − 1 / 2 , 1 / 2 , − 1 / 2 , − 1 / 2) T (c) vectorw = 3 vectoru 1 + 3 vectoru 2 (d) ˆ y = (1 , − 1 , 1 , 1) T , vector z = (0 , , − 1 , 1) T 2. (a) x 1 + 2 x 2 + 3 x 3 + 4 x 4 = 0, 5 x 1 + 6 x 2 + 7 x 3 + 8 x 4 = 0 (b) vectorx i · vectorx j = 0 for all 1 ≤ i, j ≤ k such that i negationslash = j (c) Column space of A (d) { (1 , , 0) T , (0 , 1 , 0) T , (0 , , 1) T } 3. ˆ x = (1 , 1 / 7) T , error= √ 238 / 7 4. (a) 0, 4 (b) { ( − 2 , 1) T , (2 , 1) T } (c) vectorx ( t ) = ( − 2 , 1) T + 2 e 4 t (2 , 1) T 5. (a) 2 + i , 2 − i (b) { ( − 1 + i, 1) T , ( − 1 − i, 1) T } (c) 1, 5, 8, 4 (d) (1 , , , 0) T 6. (a) 5 (b) i. 3 ii. 6 iii. Infinitely many iv. Can’t tell 7. (a) 1 3 0 0 0 1 0 0 0 (b) { (1 , 3 , 0) T , (0 , , 1) T } (c) { (1 , 1 , 2) T , (6 , 7 , 8) T } (d) { ( − 3 , 1 , 0) T } 8. (a) i. 2 ii. 12 iii. 8 (b) { c 1 vectorx 1 +...
View Full Document

This note was uploaded on 12/27/2011 for the course MAS 3114 taught by Professor Olson during the Fall '08 term at University of Florida.

Page1 / 3

Ans4 - Answers to Practice Problem Set#4 1(a √ 40(b vectoru 1 =(3 6 5 6 1 6 1 6 T vectoru 2 = − 1 2 1 2 − 1 2 − 1 2 T(c vectorw = 3 vectoru

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online