The rank of the matrix \[\left[ {\begin{array}{*{20}{c}} { – 4}&1&{ – 1} \\ { – 1}&{ – 1}&{ – 1} \\ 7&{ – 3}&1 \end{array}} \right]\] is A. 1 B. 2 C. 3 D. 4

The rank of a matrix is the number of linearly independent rows or columns in the matrix. To find the rank of a matrix, we can use Gaussian elimination.

In Gaussian elimination, we reduce the matrix to row echelon form. A row echelon form is a matrix in which all the rows below the main diagonal are zero, and the leading coefficient of each non-zero row is 1.

To reduce the matrix to row echelon form, we can use the following operations:

• Add or subtract a multiple of one row to another row.
• Multiply a row by a
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