标签: basis

在Matlab中计算基矩阵的变化

我有一项作业,基本上需要创建一个函数,给定两个基础(我将其表示为向量矩阵),它应该返回基础矩阵从一个基础到另一个基础的变化。

到目前为止,这是我根据接下来要解释的算法提出的函数:

function C = cob(A, B)
% Returns C, which is the change of basis matrix from A to B,
% that is, given basis A and B, we represent B in terms of A.
% Assumes that A and B are square matrices

n = size(A, 1);

% Creates a square matrix full of zeros 
% of the same size as the number of rows of A.
C = zeros(n);

for i=1:n
    C(i, :) = (A\B(:, i))';
end …
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matlab linear-algebra basis

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basis ×1

linear-algebra ×1

matlab ×1