Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. o There is only one scalar that does not have an inverse 0. 命电有这女 Matrix Theory Inverse -5/35
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. There is only one scalar that does not have an inverse : 0. There are many matrices without inverses. How to determine an inverse with respect to matrix multiplication? Matrix Theory Inverse - 5/35
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. o There is only one scalar that does not have an inverse 0. o There are many matrices without inverses. 务老环这女子 Matrix Theory Inverse -5/35
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. There is only one scalar that does not have an inverse : 0. There are many matrices without inverses. How to determine an inverse with respect to matrix multiplication? Matrix Theory Inverse - 5/35
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. o There is only one scalar that does not have an inverse 0. o There are many matrices without inverses. How to determine an inverse with respect to matrix multiplication? 色电有这大习 Matrix Theory Inverse
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. There is only one scalar that does not have an inverse : 0. There are many matrices without inverses. How to determine an inverse with respect to matrix multiplication? Matrix Theory Inverse - 5/35
Introduction Definition A matrix Ae Cnxn is nonsingular (or invertible)if A has an inverse. 务老环这女子 Matrix Theory Inverse -6/35
Introduction Definition A matrix A ∈ C n×n is nonsingular (or invertible) if A has an inverse. That is, if there is a matrix A −1 so that AA −1 = I = A −1A. If A does not have an inverse, it is singular. Matrix Theory Inverse - 6/35
Introduction Definition A matrix Ae Cnxn is nonsingular (or invertible)if A has an inverse. That is,if there is a matrix A-so that AA-1=1=A-1A. 色电这女子 Matrix Theory Inverse -6/35
Introduction Definition A matrix A ∈ C n×n is nonsingular (or invertible) if A has an inverse. That is, if there is a matrix A −1 so that AA−1 = I = A −1A. If A does not have an inverse, it is singular. Matrix Theory Inverse - 6/35