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in this video I will be finding the pivot columns of this matrix so in order to find the pivot columns we reduce this matrix into a row echelon form or a upper triangular form and we take the first nonzero entries of each row so lets start with the top left well use this guy as a pivot and we will we need to cancel out everything below it so we take this third row and add the first row to it and then we could take the fourth row and subtract two times the first row so lets do this operation the first row stays the same second row stays the same we get a zero right here a four right here in negative four right here is zero right here and a five right here and then we take this row and subtract two times the first row so we get a zero right here a negative five right here a 1 minus a negative four so a positive five right here and then we have 4 minus 4 which is 0 and 1 minus 10 which is negative 9 so so far we have one pivot and now we move on to the next pivot position and well us