3 * 3 Matrix Rank calculation

To calculate a rank of a matrix we need to do the following steps:
Set the matrix as shown 3 x 3 matrix
We choose the first element in the first column and eliminate all elements that are below the current one then choose the second element in the second column and carry out same operations till end. The rank is equal to number of steps - the quantity of linearly independent equations.

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   Rank: