Math

Consider the matrix A = [[a, b, c],[d, e, f],[g, h, i]] Given the elementary matrix E_3 =[[1, 0,...
We 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...

Math

Consider the matrix A = [[a, b, c],[d, e, f],[g, h, i]] Given the elementary matrix E_2= [[1, 0,...
We 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...

Math

Consider the matrix A = [[a, b, c],[d, e, f],[g, h, i]] Given the elementary matrix E_1= [[1, 0,...
We 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...