Find Reduced Row Echelon Form [[18,20]]

Problem

[[18,20]]

Solution

1. Identify the leading entry of the first row, which is 18

2. Divide the first row by 18 to create a leading 1 (pivot).

(R_1)→1/18*(R_1)

3. Simplify the resulting fraction 20/18 by dividing both the numerator and denominator by their greatest common divisor, 2

20/18=10/9

4. Verify that the matrix is now in reduced row echelon form, as the first non-zero entry in the row is 1 and it is the only non-zero entry in its column.

Final Answer

rref*[[18,20]]=[[1,10/9]]

Want more problems? Check here!