{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW8-510-soln - AMS 510 HW8 Solution 3.65 100 100 102(a E1=...

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

View Full Document Right Arrow Icon
AMS 510 HW8 Solution 3.65 (a) E 1 = 1 0 0 0 0 1 0 1 0 , E 2 = 1 0 0 0 3 0 0 0 1 , E 3 = 1 0 2 0 1 0 0 0 1 (b) E 1 ' = 1 0 0 0 0 1 0 1 0 , E 2 ' = 1 0 0 0 1 / 3 0 0 0 1 , E 3 ' = 1 0 2 0 1 0 0 0 1 (c) Interchange C 2 and C 3 ; Replace C 2 by 3 C 2 ; Replace C 1 by 2 C 3 C 1 (d) F 1 = 1 0 0 0 0 1 0 1 0 , F 2 = 1 0 0 0 3 0 0 0 1 , F 3 = 1 0 0 0 1 0 2 0 1 3.67 A 1 = 8 12 5 5 7 3 1 2 1 ; as det B = 0 , so B has no inverse matrix; C 1 = 29 2 17 2 7 2 5 2 3 2 1 2 3 2 1 ; D 1 = 8 3 1 5 2 1 10 4 1 3.68 A 1 = 1 1 1 ⋯ − 1 n 1 0 1 1 0 0 0 0 0 0 0 0 0 1 , B 1 = 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 3.69 (a) 1 0 0 3 1 0 2 1 1  1 1 1 0 1 1 0 0 1 (b) 1 0 0 2 1 0 3 5 1  1 3 1 0 1 3 0 0 10
Background image of page 1

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

View Full Document Right Arrow Icon
(c) 1 0 0 2 1 0 3 2 1 2 1  2 3 6 0 1 3 0 0 7 2 (d) No LU decomposition. 3.70 a X 1 = 1 1 1 (b) X 2 = 6 4 0 , X 3 = 22 16 2 , X 4 = 86 62 6 3.71 1 0 0 2 1 0 3 5 1  1 0 0 0 1 0 0 0 10  1 3 1 0 1 3
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 4

HW8-510-soln - AMS 510 HW8 Solution 3.65 100 100 102(a E1=...

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

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