Elementary row operations are the basic manipulations that can be performed on the rows of a matrix to transform it into a different matrix, typically to facilitate solving linear systems. These operations include swapping rows, multiplying a row by a non-zero scalar, and adding or subtracting a multiple of one row from another. They are essential tools in methods like Gaussian elimination, which systematically simplifies matrices to find solutions to systems of equations.
congrats on reading the definition of elementary row operations. now let's actually learn it.