正交矩阵的英文是orthogonal matrix,维基百科词条里说也可以 orthonormal matrix,但很少会这么说。In line...
orthogonal Matrix 指的是不同列向量乘积为0,而orthonormal Matrix不仅满足orthogonal Matrix 的性质,列...
综上,正交矩阵的英文表述为"orthogonal matrix",且其核心特征为列向量与行向量构成标准正交基。
正交矩阵是可逆矩阵,其逆矩阵等于其转置矩阵。 —— 给力词典精选 5. You should know what an orthonormal matrix is and a shortcut to compute its inverse. 你应该知道什么是正交矩阵以及求它的逆的简单方法。 —— 给力词典精选 单词专题
Firstly, the definition of an orthogonal matrix. A {eq}n \times n {/eq} matrix is orthogonal if its columns form an orthonormal system of vectors...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our ...
Orthogonal -> Orthonormal 这一步很简单: q1=A∥A∥,q2=B∥B∥,q3=C∥C∥,⋯q1=A‖A‖,q2=B‖B‖,q3=C‖C‖,⋯ Independent -> Orthogonal 假设只有一个向量。 则它自己构成正交向量组。 A=aA=a 假设有两个向量,怎么找出一个和第一个向量正交的向量呢?让 b 在 A=a 上投影得到的误差向量...
An n × n matrix Q is orthogonal if and only if Q T Q = I. Remark 1. If Q is an orthogonal matrix, then Q is invertible and Q -1 = Q T . invertible and Q = Q . Remark 2. The row vectors of Q form an orthonormal set in R n too. Remark 3. Multiplication by...
It might be tempting to suppose a matrix with orthogonal (not orthonormal) columns would be called an orthogonal matrix, but such matrices have no special interest and no special name; they only satisfy MTM = D, with D a diagonal matrix. 假设带有正交(非正交规范)列的矩阵叫正交矩阵可能是诱...
It might be tempting to suppose a matrix with orthogonal (not orthonormal) columns would be called an orthogonal matrix, but such matrices have no special interest and no special name; they only satisfy MTM = D, with D a diagonal matrix. 假设带有正交(非正交规范)列的矩阵叫正交矩阵可能是诱...
Orthogonal, but not Orthonormal, Procrustes Problems 来自 Semantic Scholar 喜欢 0 阅读量: 1 作者: R Everson 摘要: The classical matrix Procrustes problem seeks an orthogonal matrix, U , which most closely transforms a given matrix into a second matrix. We consider the Procrustes problem in ...