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Mathematica怎么計算特征向量特征值？
"不需要特征向量就不要去算。
In[1]:= Eigenvalues[{{a, b}, {c, d}}]
Out[1]= {1/2 (a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2]),
1/2 (a + d + Sqrt[a^2 + 4 b c - 2 a d + d^2])}
需要就是
In[1]:= Eigensystem[{{a, b}, {c, d}}]
Out[1]= {{1/2 (a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2]),
1/2 (a + d + Sqrt[a^2 + 4 b c - 2 a d + d^2])}, {{-((-a + d + Sqrt[
a^2 + 4 b c - 2 a d + d^2])/(2 c)),
1}, {-((-a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2])/(2 c)), 1}}}"
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"不需要特征向量就不要去算。
In[1]:= Eigenvalues[{{a, b}, {c, d}}]
Out[1]= {1/2 (a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2]),
1/2 (a + d + Sqrt[a^2 + 4 b c - 2 a d + d^2])}
需要就是
In[1]:= Eigensystem[{{a, b}, {c, d}}]
Out[1]= {{1/2 (a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2]),
1/2 (a + d + Sqrt[a^2 + 4 b c - 2 a d + d^2])}, {{-((-a + d + Sqrt[
a^2 + 4 b c - 2 a d + d^2])/(2 c)),
1}, {-((-a + d - Sqrt[a^2 + 4 b c - 2 a d + d^2])/(2 c)), 1}}}"