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DU Cui-Zhen. A new proof of the generalized Craig-Sakamoto theorem[J]. Journal of East China Normal University (Natural Sciences), 2014, (6): 35-38. doi: 10.3969/j.issn.1000-5641.2014.06.006
Citation:
DU Cui-Zhen. A new proof of the generalized Craig-Sakamoto theorem[J]. Journal of East China Normal University (Natural Sciences), 2014, (6): 35-38. doi: 10.3969/j.issn.1000-5641.2014.06.006
DU Cui-Zhen. A new proof of the generalized Craig-Sakamoto theorem[J]. Journal of East China Normal University (Natural Sciences), 2014, (6): 35-38. doi: 10.3969/j.issn.1000-5641.2014.06.006
Citation:
DU Cui-Zhen. A new proof of the generalized Craig-Sakamoto theorem[J]. Journal of East China Normal University (Natural Sciences), 2014, (6): 35-38. doi: 10.3969/j.issn.1000-5641.2014.06.006
We gave a new proof of the generalized Craig-Sakamoto theorem, which asserts that two normal matrices A and B satisfy det(I aA bB) = det(I aA)det(I bB) for all complex numbers a and b if and only if AB = O.