An unknown Greek matrix

*To*: mathgroup at smc.vnet.net*Subject*: [mg129969] An unknown Greek matrix*From*: marshfeldman at gmail.com*Date*: Thu, 28 Feb 2013 21:26:42 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

Forgive me if this is obvious, but I'm a Mathematica newbie and have given up trying to figure this out any other way. I have the following defined matrices: A = {{5, 0}, {0, 10}} B = {{6, 3}, {1, 12}} and a row vector: L = {{1, 1}}. I don't know how to use Greek here, so I'll use "Lambda" as the name of a row vector whose name is really the Greek letter lambda capitalized and "lambda" for as the name of the elements of Lambda subscripted, with the elements really being lower-case versions of the Greek letter lambda and subscripts indicated by appending _n, where n is the subscript (e.g. lambda_1 is lowercase lambda subscripted with 1). In other words, Lambda = {{lambda_1, lambda_2}}. Now given the following equation, solve for Lambda: Lambda B = Lambda A + L. Also, display the elements of Lambda as lambda_1 = -1 lambda_2 = 2. Can one do this in Mathematica? How?