{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Fundamentals of Electric Circuits

Fundamentals of Electric Circuits - Fundamentals of...

This preview shows pages 1–3. 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: Fundamentals of Fundamentals of Electric Circuits Electric Circuits Taught by Prof. Zhang Taught by Prof. Zhang TA: TA: Tianyi Tianyi Wang Wang 01/14/2007 Text Book Text Book ¡ Fundamentals of Electric Circuits bundled Fundamentals of Electric Circuits bundled w/Netgrade w/Netgrade CD; CD; Alexander and Alexander and Sadiku Sadiku ; ; McGraw Hill, ISBN: 0073643300 McGraw Hill, ISBN: 0073643300 What you should know before the class? What you should know before the class? ¡ Simultaneous Equations and Matrix Inversion Simultaneous Equations and Matrix Inversion ¡ Appendix A Appendix A ¡ Complex Numbers Complex Numbers ¡ Appendix B Appendix B ¡ Mathematical Formulas Mathematical Formulas ¡ Appendix C Appendix C All these topics can be found in linear algebra and calculus Simultaneous Equations and Matrix Simultaneous Equations and Matrix Inversion(1) Inversion(1) 11 1 12 2 1 1 21 1 22 2 2 2 1 1 2 2 n n n n m m n n n n a x a x a x b a x a x a x b a x a x a x b + + + = ⎧ ⎪ + + + = ⎪ ⎨ ⎪ ⎪ + + + = ⎩ L L LLLL L 11 12 1 1 1 21 22 2 2 2 1 2 n n m m n n n n a a a x b a a a x b a a a x b ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ = ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎣ ⎦ ⎣ ⎦ ⎣ ⎦ L L M M L M M M L A X B So, we can write in this way: A X B = Simultaneous Equations and Matrix Simultaneous Equations and Matrix Inversion(2) Inversion(2) ¡ Cramer Cramer ’ s Rule s Rule 1 2 1 2 11 1 1 1 1 1 1 21 2 1 2 2 1 2 1 1 1 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ( 1,2,..., ) n n j j n j j n j n nj n nj nn x x x a a b a a a a b a a a a b a a j n − + − + − + Δ Δ Δ = = = Δ Δ Δ Δ = = where Notice: 1. ∆ is the determinant of matrix A and ∆j is the determinant of the matrix formed by replacing the jth column of A by B....
View Full Document

{[ snackBarMessage ]}

Page1 / 6

Fundamentals of Electric Circuits - Fundamentals of...

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

View Full Document
Ask a homework question - tutors are online