scalar matrix


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Related to scalar matrix: symmetric matrix

scalar matrix

[¦skā·lər ′mā‚triks]
(mathematics)
A diagonal matrix whose diagonal elements are all equal.
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Let [([a.sub.ij]).sub.(i,j) [member of] AxB] be a scalar matrix with positive entries, and denote its columns by [[alpha].sub.j] = [([a.sub.ij]).sub.i[member of]A] and its rows by [[beta].sub.i] = [([a.sub.ij]).sub.j[member of]B].
In view of (7) like of the case of scalar matrix games the following theorem is proving.