Find Reduced Row Echelon Form [[7,4,1],[0,1,2]]

Problem

[[7,4,1],[0,1,2]]

Solution

1. Identify the leading entry in the first row, which is 7

2. Normalize the first row by multiplying (R_1) by 1/7 to create a leading 1

(R_1)→1/7*(R_1)

[[1,4/7,1/7],[0,1,2]]

3. Eliminate the entry above the leading 1 in the second row by subtracting 4/7 times (R_2) from (R_1)

(R_1)→(R_1)−4/7*(R_2)

4. Calculate the new values for the first row.

4/7−4/7*(1)=0

1/7−4/7*(2)=1/7−8/7=−1

5. Write the resulting matrix in reduced row echelon form.

[[1,0,−1],[0,1,2]]

Final Answer

[[7,4,1],[0,1,2]]=[[1,0,−1],[0,1,2]]

Want more problems? Check here!