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Definition of column rank of a matrix
Definition of rank of a matrix
Definition of nullity of a matrix
The rank of a matrix equals number of pivots in a reduced row echelon form.
The rank of a matrix equals the rank of the linear transformation it represents.
The row space and the column space of a matrix have the same dimension.
If A is a matrix
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Rank and mullity
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The rank of a matrix equals number of pivots in a reduced row echelon form.
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