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Considering matrices as tensors, the tensor rank generalizes to arbitrary tensors; for tensors of purchase larger than 2 (matrices are buy two tensors), rank is rather challenging to compute, contrary to for matrices.
; apply this inequality for the subspace described via the orthogonal complement on the picture of B C displaystyle BC
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The rank of the m × n matrix is actually a nonnegative integer and can't be better than possibly m or n. That's,
He distinguished himself in many campaigns, particularly in the Peninsular war, and was raised towards the rank of field marshal.
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