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WebTo get the matrix in the correct form, we can 1) swap rows, 2) multiply rows by a non-zero constant, or 3) replace a row with the product of another row times a constant added to the row to be replaced. Here is an example: Solve the following system of equations : . Find the first non-zero entry in the first column; this is the pivot. WebSolve a system of equations using matrices. Step 1. Write the augmented matrix for the system of equations. Step 2. Using row operations get the entry in row 1, column 1 to be 1. Step 3. Using row operations, get zeros in column 1 below the 1. Step 4. Using row operations, get the entry in row 2, column 2 to be 1. WebLS.6 Solution Matrices In the literature, solutions to linear systems often are expressed using square matrices rather than vectors. You need to get used to the terminology. As before, we state the definitions and results for a 2×2 system, but they generalize immediately to n×n systems. 1. Fundamental matrices. We return to the system (1) x ... flamenco barcelona city hall