Find Reduced Row Echelon Form [[1,4,-13,-32],[0,1,-4,-6]]

Problem

[[1,4,−13,−32],[0,1,−4,−6]]

Solution

1. Identify the pivot in the second row, which is the 1 in the second column.

2. Eliminate the entry above the pivot by performing the row operation (R_1)→(R_1)−4*(R_2)

3. Calculate the new values for the first row: 1 - 4(0) = 1, - 4(1) = 0,13 - 4(-4) = 3,a*n*d32 - 4(-6) = -8$.

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

Final Answer

[[1,4,−13,−32],[0,1,−4,−6]]=[[1,0,3,−8],[0,1,−4,−6]]

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