Linear Algebra, Spreadsheets.
rows to other rows until all elements below the diagonal are zero. At step 0, A=A0 is the the original matrix. If we don’t do any row operation, i.e. M is the identity matrix, A will remain untransformed as shown below. That is, A1=M1⋅A0=AA1=M1⋅A0=A, A2=M2⋅A1=AA2=M2⋅A1=A and U=M3⋅A2=AU=M3⋅A2=A. The