Numerical-Computing - ASSIGNMENTS FOR NUMERICAL COMPUTATION...

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: ASSIGNMENTS FOR NUMERICAL COMPUTATION MAN V. M. NGUYEN, PH.D. Part I: Matrices Computation Assignment IA: Vector Products and Transpose For real matrices, the transpose operation interchanges a i,j and a j,i . MAT- LAB uses the apostrophe operator () to perform a complex conjugate trans- pose , resulting a matrix called adjoint matrix ; and the dot-apostrophe operator (.) to transpose without conjugation. For matrices containing all real elements, the two operators return the same result. For a complex vector or matrix, z , the quantity z not only transposes the vector or matrix, but also converts each complex element to its complex conjugate. That is, the sign of the imaginary part of each complex element is changed. Multiplying Matrices: reflects composition of the underlying linear trans- formations and allows compact representation of systems of simultaneous linear equations. If A is m-by- p and B is p-by- n , their product C = AB is m-by- n . In MATLAB, try the followings B = magic(3); X = B z = [1+2i 7-3i 3+4i; 6-2i 9i 4+7i]; z; z. A = pascal(3); B = magic(3); X = A*B; Y = B*A The Identity Matrix: I = eye(3,3) Date : September 6, 2010 Email: mnguyen@cse.hcmut.edu.vn ....
View Full Document

This note was uploaded on 01/22/2011 for the course CS 225 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 5

Numerical-Computing - ASSIGNMENTS FOR NUMERICAL COMPUTATION...

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