Find the rank of the matric
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The maximum number of linearly independent vectors in a matrix is equal to the number of non-zero rows in its row echelon matrix. Therefore, to find the rank of a matrix, we simply transform the matrix to its row echelon form and count the number of non-zero rows.
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In linear algebra, the rank of a matrix is the dimension of the vector space generated by its columns. This corresponds to the maximal number of linearly independent columns of. This, in turn, is identical to the dimension of the space spanned by its rows.
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