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Matrix Multiplication

MathWe are given that `A = ((a,b,c),(d,e,f),(g,h,i))` and that the elementary matrix `E_3 = ((1,0,0),(0,0,1),(0,1,0))` (an elementary matrix is one that can be reached from the identity matrix of the...

MathWe are given that `A = ((a,b,c),(d,e,f),(g,h,i))` and that the elementary matrix `E_2 = ((1,0,0),(0,6,0),(0,0,1))` (an elementary matrix is one that can be reached from the identity matrix of the...

MathWe have `A = ((a,b,c),(d,e,f),(g,h,i))` and `E_1 = ((1,0,3),(0,0,1),(0,1,0))` Therefore `AE_1 = ((a,b,c),(d,e,f),(g,h,i))((1,0,3),(0,0,1),(0,1,0)) = ((a,c,3a+b),(d,f,3d+e),(g,i,3g+h))` We can...

Math`E_6` is an elementary matrix. That is it is a matrix that can be reached from the identity matrix of the same dimension by an elementary operation. We have that `E_6 ((1,3,4),(2,2,3),(5,4,4)) =...

Math`E_4` is an elementary matrix. That is, one that can be reached from the identity matrix of the same dimension by an elementary operation. In this case the operation is multiplying row 2 by 4....

MathThe matrix `U` is the product of some particular set of elementary matrices. An elementary matrix can be reached from the identity matrix of the same dimension by an elementary row or column...