两类特殊矩阵的特殊性不变比照

Comparison of the Invariant Particularity of Two Kinds of Special Matrices

正交矩阵和对合矩阵是矩阵中两类身份特殊的矩阵,对这两类特殊矩阵通过多种变换后的性质进行进一步的探究,得出经过怎样的变换后,正交矩阵仍然是正交矩阵,对合矩阵仍然是对合矩阵的这种特殊性不变的特性,同时通过比照的方式对两类矩阵的性质加以比较和辨析,探究它们的相同点和差异性。

Orthogonal matrix and involution matrix are two kinds of matrices with special identity in the matrix.The properties of these two kinds of special matrices through various transformations are further explored,and the orthogonal matrix is still an orthogonal matrix and the involution matrix is still the same characteristic of involution matrix after some transformation.At the same time,the properties of the two kinds of matrices are compared and discriminated by comparison to explore their similarities and differences.