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Mathematics版 - 请教两个线性代数题目 多谢!!!
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进入Mathematics版参与讨论
1 (共1页)
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

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
: ?/

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

1 (共1页)
进入Mathematics版参与讨论
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问个简单的矩阵eigenvalues怎么样生成的矩阵能保证eigenvalues的绝对值总小于1?
相关话题的讨论汇总
话题: matrix话题: positive话题: symmetric话题: prove话题: real