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NationMaster - Encyclopedia: Rank (matrix theory) (765 words) |
 | In linear algebra, the column rank (row rank respectively) of a matrix A with entries in some field is defined to be the maximal number of columns (rows respectively) of A which are linearly independent. |
| The maximal number of linearly independent columns of the m-by-n matrix A with entries in the field F is equal to the dimension of the column space of A (the column space being the subspace of F |
| The column rank of a matrix A is the maximal number of linearly independent columns of A. The rank of a matrix plus the nullity of the matrix equals the number of columns of the matrix (this is the "rank theorem" or the "rank-nullity theorem"). |
| Gas chromatography oven heaters - Patent 6485543 (3359 words) |
| The oven space is typically divided by a baffle 5 into a heater space 3 containing a heater element 6 and a fan 2, and a column space 4 containing one or more separation columns (not shown). |
| The baffle is also designed to permit flow from the heater space to the column space between the baffle periphery and the walls of the oven to permit a circulating flow of forced hot gas, typically air. |
| Positioning heater 60 in column space 4 such that heat is directed into the air stream directed toward space 3 promotes even heating because fan 2 mixes the heat energy with the heat energy generated by the heater in compartment 3 and directs the mixed heat energy to the column space 4. |
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