CAJ | 학술논문

基于广义二次矩阵的性质和研究方法给出广义三次矩阵的定义，并证明了广义三次矩阵对幂、逆及线性运算封闭，且在某些条件下广义三次矩阵可表示为3个两两可交换且乘积为零的幂等矩阵的线性组合。结果表明，二次矩阵是广义三次矩阵的特例。
기우엄의이차구진적성질화연구방법급출엄의삼차구진적정의，병증명료엄의삼차구진대멱、역급선성운산봉폐，차재모사조건하엄의삼차구진가표시위3개량량가교환차승적위령적멱등구진적선성조합。결과표명，이차구진시엄의삼차구진적특례。
Based on the properties of generalized quadratic matrix and method used,the generalized cubic matrix was defined.It is proved that the generalized cubic matrix is closed for the power,the inverse and linear operation of the matrix.It is also pointed out that under some conditions,the generalized cubic matrix can be represented as the linear combination of three idempotent matrices which are commutative and the products are zero.The results show that genteralized quadratic matrix is a special case of the generalized cubic matrix.