yes it is possible.not only columns but also rows can be transformed.
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u can use gauss jorden or gauss elimination method for solving linear equation u also use simple subtraction method for small linear equation also.. after that also there are many methods are available but above are most used
Gaussian elimination as well as Gauss Jordan elimination are used to solve systems of linear equations. If, using elementary row operations, the augmented matrix is reduced to row echelon form, then the process is called Gaussian elimination. If the matrix is reduced to reduced row echelon form, the process is called Gauss Jordan elimination. In the case of Gaussian elimination, assuming that the system is consistent, the solution set can be obtained by back substitution whereas, if the matrix is in reduced row echelon form, the solution set can usually be obtained directly from the final matrix or at most by a few additional simple steps.
kuta panchod ha ya method....................................sala
Gauss's method was to find the sum of 1-100. He tried adding with pairs 1 + 100 = 101, 2 + 99 = 101 and so on. Each pairs was going to equal 101. Half of 100 is 50, 50 x 101 = 5,050.
At 24 years of age, he wrote a book called Disquisitines Arithmeticae, which is regarded today as one of the most influential books written in math. He also wrote the first modern book on number theory, and proved the law of quadratic reciprocity. In 1801, Gauss discovered and developed the method of least squares fitting, 10 years before Legendre, unfortunately, he didn't publish it. Gauss proved that every number is the sum of at most three triangular numbers and developed the algebra of congruences.