{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

biosimulationII hw2

biosimulationII hw2 - BMES673 Problem Set#2 Due This...

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

BMES673 Problem Set #2 Due: Feb 28, 2011 This homework assignment consists of a set of multiple-choice test. You will have to complete this assignment individually. There are 17 problems, each 6 points (except Problem 15 and 16, each 5 points), totaling 100 points. 1. The goal of forward elimination steps in Naïve Gauss elimination method is to reduce the coefficient matrix to a (an) _____________ matrix. (A) diagonal (B) identity (C) lower triangular (D) upper triangular 2. Division by zero during forward elimination steps in Naïve Gaussian elimination of the set of equations [A][X]=[C] implies the coefficient matrix [A] is (A) invertible (B) nonsingular (C) not determinable to be singular or nonsingular (D) singular 3. Using a computer with four significant digits with chopping, Naïve Gauss elimination solution to 23 . 47 123 . 7 239 . 6 12 . 58 23 . 55 0030 . 0 2 1 2 1 = = + x x x x is (A) x 1 = 26.66; x 2 = 1.051 (B) x 1 = 8.769; x 2 = 1.051 (C) x 1 = 8.800; x 2 = 1.000 (D) x 1 = 8.771; x 2 = 1.052 4. Using a computer with four significant digits with chopping, Gaussian elimination with partial pivoting solution to 23 . 47 123 . 7 239 . 6 12 . 58 23 . 55 0030 . 0 2 1 2 1 = = + x x x x is 5. At the end of forward elimination steps of Naïve Gauss Elimination method on the following equations

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

View Full Document
Υ੟ Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ × = Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ Υ੟ Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ × × × × × × × × 0 007 . 0 0 10 887 . 7 10 6057 . 3 10 2857 . 4 0 0 15384 . 0 5 . 6 15384 . 0 5 . 6 10 4619 . 5 10 2857 . 4 10 4619 . 5 10 2857 . 4 0 0 10 2307 . 9 10 2857 . 4 3 4 3 2 1 5 7 5 7 5 7 5 7 c c c c the resulting equations in the matrix form are given by Υ੟ Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ × × × × = Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ Υ੟ Υ੟ Υ੟ Υ੟ Υ੟ Φ੯ Τ੏ ΢ਯ ΢ਯ ΢ਯ ΢ਯ ΢ਯ Σਿ Ρਟ × × × × × × 4 2 3 3 4 3 2 1 5 5 7 5 5 7 10 90336 . 1 10 19530 . 1 10 887 . 7 10 887 . 7 10 62500 . 5 0 0 0 579684 . 0 9140 . 26 0 0 10 4619 . 5 10 2857 . 4 10 7688 . 3 0 0 0 10 2307 . 9 10 2857 . 4 c c c c The determinant of the original coefficient matrix is (A) 0.00 (B) 7 10 2857 . 4 × (C) 19 10 486 . 5 × (D) 20 10 445 2 × .
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

biosimulationII hw2 - BMES673 Problem Set#2 Due This...

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

View Full Document
Ask a homework question - tutors are online