Z****e 发帖数: 6171 | 1 1. if A is a real symmetric matrix, prove that there is a real symmetric
matrix B such that B^3=A.
2. prove that every positive matrix is the square of a positive matrix.
多谢 实在不知道怎么做 |
d******e 发帖数: 7844 | 2 1.Real Symmetic matrix can be eigen value decomposition.
B's eigenvalues's cube are A's eigenvalues.
B. I've never heard of Positive matrix before. Do you mean positive definite
?/
【在 Z****e 的大作中提到】 : 1. if A is a real symmetric matrix, prove that there is a real symmetric : matrix B such that B^3=A. : 2. prove that every positive matrix is the square of a positive matrix. : 多谢 实在不知道怎么做
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Z****e 发帖数: 6171 | 3 题目里就是positive matrix 我理解是Nonnegative matrix
那要是positive definite 怎么做?
第一题 没有eigen value 怎么整?
definite
【在 d******e 的大作中提到】 : 1.Real Symmetic matrix can be eigen value decomposition. : B's eigenvalues's cube are A's eigenvalues. : B. I've never heard of Positive matrix before. Do you mean positive definite : ?/
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c*******h 发帖数: 1096 | 4 1. A 对角化
2. 2 1 不是任何正矩阵的平方
1 5
【在 Z****e 的大作中提到】 : 1. if A is a real symmetric matrix, prove that there is a real symmetric : matrix B such that B^3=A. : 2. prove that every positive matrix is the square of a positive matrix. : 多谢 实在不知道怎么做
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