hwB18 - ENEE 241 02 HOMEWORK PROBLEM 18 Due Fri 03/14...

Info iconThis preview shows pages 1–2. 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: ENEE 241 02 * HOMEWORK PROBLEM 18 Due Fri 03/14 Consider the 4 × 3 matrix V = £ v (1) v (2) v (3) / given by V = - 1 . 3702 4 . 6799- . 6379 1 . 8877- 2 . 5466 4 . 7986 2 . 0596- 5 . 5447- 2 . 1429- 2 . 5134 3 . 7242- . 9872 (i) (3 pts.) Compute (e.g., in MATLAB) the inner product matrix V T V , rounding to four significant digits. (ii) (8 pts.) Obtain (by hand) 3 × 3 matrices D (diagonal with positive entries) and U (upper triangular with unit diagonal entries) such that V T V = U T DU (iii) (9 pts.) Determine (by hand) coefficients c ij that yield orthonormal vectors w (1) , w (2) and w (3) , where: w (1) = c 11 v (1) w (2) = c 12 v (1) + c 22 v (2) w (3) = c 13 v (1) + c 23 v (2) + c 33 v (3) Solved Examples S 18.1 ( P 2.39 in textbook). Consider a n × 3 real-valued matrix V = £ v (1) v (2) v (3) / which is such that V T V = 16- 8- 12- 8 8 8- 12 8 11 (i) Determine matrices D (diagonal with positive entries) and U (upper triangular with unit...
View Full Document

This note was uploaded on 03/21/2010 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.

Page1 / 2

hwB18 - ENEE 241 02 HOMEWORK PROBLEM 18 Due Fri 03/14...

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

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