Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
Chapter 5: Matrix Approaches to Simple Linear Regression
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Some Basic Results for MatricesOverview<strong>Matrix</strong> AlgebraAlgebraMore Matrices➤ <strong>Linear</strong>Dependencies➤ Rank of a <strong>Matrix</strong>➤ Some BasicResults forMatricesGeneral <strong>Linear</strong>ModelOther <strong>Matrix</strong>ProductsWrapping UpA + B = B + A(A + B) + C = A + (B + C)(AB)C = A(BC)C(A + B) = CA + CBk(A + B) = kA + kB(A′)′ = A(A + B)′ = A′ + B′(AB)′ = B′A′(ABC)′ = C′B′A′(AB) −1 = B −1 A −1(ABC) −1 = C −1 B −1 A −1(A −1 ) −1 = A(A′) −1 = (A −1 )′Lecture 17 Psychology 790