# Week8 - ECON 117 Mathematical Economics Spring 2008 Week...

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ECON 117 Spring 2008 Mathematical Economics Week 8 (Half) 3.6 Cramer’s Rule Q) 4 1 1 xyz xz xy ++= −= Find ,, by using the Cramer’s Rule. Page 1 of 6

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ECON 117 Spring 2008 Mathematical Economics 4. Eigenvalue Problems 4.1 Eigenvalues and Eigenmatrix Def) Let be a symmetric matrix ( doesn’t have to be always symmetric but in most cases if is symmetric then it will be easy to handle). () nn × A A A Then, we call i λ \ (usually 1, 2, , in = ) eigenvalues ( latent values or characteristic roots ) of and the corresponding eigenvectors ( latent vectors or characteristic vectors ) of if each A n i x \ A (,) ii x satisfies: i =⋅ Ax x where i x0 Ex) αβ γδ ⎡⎤ = ⎢⎥ ⎣⎦ A (i)

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## This note was uploaded on 09/15/2008 for the course ECON 324 taught by Professor Kim during the Spring '08 term at HKUST.

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Week8 - ECON 117 Mathematical Economics Spring 2008 Week...

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