h3color - ECE 580 Math 587 SPRING 2011 Correspondence 7...

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 Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ECE 580 / Math 587 SPRING 2011 Correspondence # 7 February 21, 2011 ASSIGNMENT 3 Reading Assignment: Text: Chp 3; Correspondence # 6. Recommended Reading: Curtain & Pritchard: Chp 4 (pp. 55-64), Chp 5 (pp. 75-84). Balakrishnan: Chapters 1 and 2. Liusternik & Sobolev: Chapter 2 (pp. 73-83). Advance Reading: Text: Chapter 4; Review probability theory and stochastic processes from any (graduate) text of your choice. Problems (to be handed in): Due Date: Thursday, March 3 . 21. Let H be the space of all m × m matrices with complex-valued entries, with addition and multiplication defined as the standard corresponding operations with matrices, and with a candidate inner product of two matrices A, B defined as ( A, B ) = Trace ( A T Q ¯ B ) where A T denotes the transpose of the matrix A ; ¯ B denotes the complex conjugate of B ; and Q ∈ H is a Hermitian positive-definite matrix, that is Q T = ¯ Q and Q has only positive real eigenvalues. Prove that ( A, B ) as defined above is an inner product on...
View Full Document

{[ snackBarMessage ]}

Page1 / 3

h3color - ECE 580 Math 587 SPRING 2011 Correspondence 7...

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