使用邻接法计算 3×3 阶正整数幂的逆矩阵 RSLPFLcircfr (0,1/b,0)

Ade Novia Rahma, Velyn Wulanda, Rahmawati Rahmawati, C. C. Marzuki
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引用次数: 0

摘要

矩阵 RSLPFLcircfr 是圆矩阵 RSLPFLcircfr 的一种特殊形式。本研究旨在确定正整数幂的逆矩阵 RSLPFLcircfr 的一般形式。本研究首先确定矩阵 RSLPFLcircfr 的幂的一般形式,然后用数学归纳法证明。接着,预测矩阵 RSLPFLcircfr 的幂的行列式,然后继续利用辅因式展开直接证明矩阵 RSLPFLcircfr 的幂的行列式的形式概化。此外,通过确定矩阵 RSLPFLcircfr 的幂的协因矩阵,我们将利用邻接法得到矩阵 RSLPFLcircfr 的幂的逆矩阵。
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Inverse Matrix RSLPFLcircfr (0,1/b,0) of Order 3×3 to the Power of Positive Integer Using Adjoin Method
The matrix RSLPFLcircfr  is a particular form of the circular matrix RSLPFLcircfr . This study aims to determine the general form of the inverse matrix RSLPFLcircfr  to the power of positive integers. This research begins by determining the general form of the power of the matrix RSLPFLcircfr  which is then proven by using mathematical induction. Next, predicting the determinant of the power of the matrix RSLPFLcircfr which is then continued by proving the form generalization of the determinant of the power of the matrix RSLPFLcircfr by direct proof using cofactor expansion. Furthermore, by determining the cofactor matrix of the power of the matrix RSLPFLcircfr  we will obtain the inverse of the matrix to the power of the matrix RSLPFLcircfr  using the adjoin method.
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