用MATLAB将二次型转换成标准二次型将二次型f(X1,X2,X3)=4*X1^2+11*X1*X2+4*X2^2+11*X2*X3+4X3^2+11*X3*X4+4*X4^2+11*X4*X5+4*X5^2用MATLAB转化标准二次型.
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![用MATLAB将二次型转换成标准二次型将二次型f(X1,X2,X3)=4*X1^2+11*X1*X2+4*X2^2+11*X2*X3+4X3^2+11*X3*X4+4*X4^2+11*X4*X5+4*X5^2用MATLAB转化标准二次型.](/uploads/image/z/12588392-56-2.jpg?t=%E7%94%A8MATLAB%E5%B0%86%E4%BA%8C%E6%AC%A1%E5%9E%8B%E8%BD%AC%E6%8D%A2%E6%88%90%E6%A0%87%E5%87%86%E4%BA%8C%E6%AC%A1%E5%9E%8B%E5%B0%86%E4%BA%8C%E6%AC%A1%E5%9E%8Bf%EF%BC%88X1%2CX2%2CX3%EF%BC%89%3D4%2AX1%5E2%2B11%2AX1%2AX2%2B4%2AX2%5E2%2B11%2AX2%2AX3%2B4X3%5E2%2B11%2AX3%2AX4%2B4%2AX4%5E2%2B11%2AX4%2AX5%2B4%2AX5%5E2%E7%94%A8MATLAB%E8%BD%AC%E5%8C%96%E6%A0%87%E5%87%86%E4%BA%8C%E6%AC%A1%E5%9E%8B.)
用MATLAB将二次型转换成标准二次型将二次型f(X1,X2,X3)=4*X1^2+11*X1*X2+4*X2^2+11*X2*X3+4X3^2+11*X3*X4+4*X4^2+11*X4*X5+4*X5^2用MATLAB转化标准二次型.
用MATLAB将二次型转换成标准二次型
将二次型f(X1,X2,X3)=4*X1^2+11*X1*X2+4*X2^2+11*X2*X3+4X3^2+11*X3*X4+4*X4^2+11*X4*X5+4*X5^2用MATLAB转化标准二次型.
用MATLAB将二次型转换成标准二次型将二次型f(X1,X2,X3)=4*X1^2+11*X1*X2+4*X2^2+11*X2*X3+4X3^2+11*X3*X4+4*X4^2+11*X4*X5+4*X5^2用MATLAB转化标准二次型.
>> A=[4 11/2 0 0 0;11/2 4 11/2 0 0;0 11/2 4 11/2 0; 0 0 11/2 4 11/2; 0 0 0 11/2 4 ]
A =
4.0000 5.5000 0 0 0
5.5000 4.0000 5.5000 0 0
0 5.5000 4.0000 5.5000 0
0 0 5.5000 4.0000 5.5000
0 0 0 5.5000 4.0000
>> [P,D] = schur(A)
P =
0.2887 -0.5000 0.5774 0.5000 -0.2887
-0.5000 0.5000 -0.0000 0.5000 -0.5000
0.5774 -0.0000 -0.5774 -0.0000 -0.5774
-0.5000 -0.5000 0.0000 -0.5000 -0.5000
0.2887 0.5000 0.5774 -0.5000 -0.2887
D =
-5.5263 0 0 0 0
0 -1.5000 0 0 0
0 0 4.0000 0 0
0 0 0 9.5000 0
0 0 0 0 13.5263