Find Reduced Row Echelon Form [[4,252],[4,-4]]

Problem

[[4,252],[4,−4]]

Solution

1. Divide the first row by 4 to create a leading 1 in the first column.

[[1,63],[4,−4]]

2. Eliminate the entry below the leading 1 by subtracting 4 times the first row from the second row ((R_2)−4*(R_1)⇒(R_2).

[[1,63],[0,−256]]

3. Divide the second row by −256 to create a leading 1 in the second column (−1/256*(R_2)⇒(R_2).

[[1,63],[0,1]]

4. Eliminate the entry above the leading 1 in the second column by subtracting 63 times the second row from the first row ((R_1)−63*(R_2)⇒(R_1).

[[1,0],[0,1]]

Final Answer

rref*[[4,252],[4,−4]]=[[1,0],[0,1]]

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