Introduction Some remarks These observations seem pedantic,but they are important in order to see how to make the transition from scalar equations to matrix equations. 色电这女了 Matrix Theory Inverse -4/35
Introduction Some remarks These observations seem pedantic, but they are important in order to see how to make the transition from scalar equations to matrix equations. In particular, these arguments show that in addition to associativity, the properties αα −1 = 1 and α −1α = 1 (1) are the key ingredients. So if we want to solve matrix equations in the same fashion as we solve scalar equations, then a matrix analogue of (1) is needed. Matrix Theory Inverse - 4/35
Introduction Some remarks These observations seem pedantic,but they are important in order to see how to make the transition from scalar equations to matrix equations. In particular,these arguments show that in addition to associativity,the properties aa-1=1 and a la=1 (1) are the key ingredients. 色电有这大习 Matrix Theory Inverse -4/35
Introduction Some remarks These observations seem pedantic, but they are important in order to see how to make the transition from scalar equations to matrix equations. In particular, these arguments show that in addition to associativity, the properties αα−1 = 1 and α −1α = 1 (1) are the key ingredients. So if we want to solve matrix equations in the same fashion as we solve scalar equations, then a matrix analogue of (1) is needed. Matrix Theory Inverse - 4/35
Introduction Some remarks These observations seem pedantic,but they are important in order to see how to make the transition from scalar equations to matrix equations. In particular,these arguments show that in addition to associativity,the properties aa1=1 and aa=1 (1) are the key ingredients. So if we want to solve matrix equations in the same fashion as we solve scalar equations,then a matrix analogue of(1)is needed. 争老年这大习 Matrix Theory Inverse -4/35
Introduction Some remarks These observations seem pedantic, but they are important in order to see how to make the transition from scalar equations to matrix equations. In particular, these arguments show that in addition to associativity, the properties αα−1 = 1 and α −1α = 1 (1) are the key ingredients. So if we want to solve matrix equations in the same fashion as we solve scalar equations, then a matrix analogue of (1) is needed. Matrix Theory Inverse - 4/35
Introduction Some remarks Inversion of matrices is more complicated than inversion of scalars. 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 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