# sol_310f04_1 - Problem 1 2 3 4 5 Bonus Total 12 5 5 10 50...

This preview shows pages 1–2. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem 1 2 3 4 5 Bonus: Total: Points 15 13 12 5 5 10 50+10 Scores Mat 310 – Linear Algebra – Fall 2004 Name: Id. #: Lecture #: Test 1 (September 24 / 50 minutes) There are 5 problems worth 50 points total and a bonus problem worth up to 10 points. Show all work. Always indicate carefully what you are doing in each step; otherwise it may not be possible to give you appropriate partial credit. 1. [15 points] Consider the homogeneous system of linear equations x 1 + x 2 + 2 x 3- 2 x 4 = 0 x 1- 5 x 2- x 3 + 7 x 4 = 0 x 1- x 2 + x 3 + x 4 = 0 (a) [3 points] Write down the matrices A , X , and O for which the system is in matrix form AX = O . Solution: A = 1 1 2- 2 1- 5- 1 7 1- 1 1 1 , X = x 1 x 2 x 3 x 4 , O = (b) [6 points] Using the Gauss-Jordan algorithm, compute the row-reduced echelon matrix R which is row equivalent to A . Solution: A R 2 → R 2- R 1-→ 1 1 2- 2- 6- 3 9 1- 1 1 1 R 3 → R 3- R 1-→ 1 1 2- 2- 6- 3 9- 2- 1 3 R 3 → R 3- 1 3 R 2-→ 1 1 2- 2- 6- 3 9 R 2 →- 1 6 R 2-→...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

sol_310f04_1 - Problem 1 2 3 4 5 Bonus Total 12 5 5 10 50...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online