Rank of the matrix sums
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As a consequence, a rank-k matrix can be written as the sum of k rank-1 matrices, but not fewer.
The rank of a matrix plus the nullity of the matrix equals the number of columns of the matrix. ...If A is a matrix over the real numbers then the rank of A and the rank of its corresponding Gram matrix are equal.
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As a consequence, a rank-k matrix can be written as the sum of k rank-1 matrices, but not fewer.
The rank of a matrix plus the nullity of the matrix equals the number of columns of the matrix. ...If A is a matrix over the real numbers then the rank of A and the rank of its corresponding Gram matrix are equal.
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