![]() To obtain a matrix in row-echelon form for finding solutions, we use Gaussian elimination, a method that uses row operations to obtain a 1 as the first entry so that row 1 can be used to convert the remaining rows. Example 1 Use augmented matrices to solve each of the following systems. We will start out with the two systems of equations that we looked at in the first section that gave the special cases of the solutions. ![]() The key feature of our calculator is that each determinant can be calculated apart and you can also check the exact type of matrix if the determinant of the main matrix is zero. With these operations, there are some key moves that will quickly achieve the goal of writing a matrix in row-echelon form. Speaking of which, let’s go ahead and work a couple of examples. Here you can solve systems of simultaneous linear equations using Cramers Rule Calculator with complex numbers online for free with a very detailed solution. ![]() Questions Tips
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