Question

Give an example of an (augmented) matrix in reduced row echelon form whose system of equations is inconsistent, and which does not have a pivot in every column.

Answer 1

Answer:

$\left[\begin{array}{ccc}4&0&3\\0&5&6\\0&0&2\end{array}\right]$

Step-by-step explanation:

step 1 : you form a 3 x 3 matrix

step 2: you reduce the matrix to echelon form

step 3: you remove all pivot from the matrix

Step 4: you make sure that the system of equation is not solvable