The rank of A equals the volume of non-zero singular values, which can be similar to the quantity of non-zero diagonal features in Σ during the singular benefit decomposition A = U Σ V ∗ displaystyle A=USigma V^ *
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The final matrix (in diminished row echelon form) has two non-zero rows and therefore the rank of matrix A is 2.
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A typical approach to getting the rank of the matrix is to scale back it to a simpler variety, commonly row echelon kind, by elementary row operations. Row operations never change the row Area (hence will not alter the row rank), and, currently being invertible, map the column Area to an isomorphic House (for this reason usually do not change the column rank).
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