Understanding the Gaussian Integral Process

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Gaussian elimination is a standard procedure used to solve systems of linear equations by applying elementary row operations to the augmented matrix of the system. These operations consist of: \t1.\tInterchanging two rows \t2.\tMultiplying a row by a nonzero scalar \t3.\tReplacing a row by the sum of itself and a multiple of another row The objective is to transform the augmented matrix into row echelon form (REF), where all entries below each leading coefficient (pivot) are zero and each pivot