In-class Demonstration: Quadratic Forms; Orthogonal Diagonalization By Russell Blyth, modified by Mike May, S.J. restart: with(LinearAlgebra): with(plots): with(plottools):

Warning, the name changecoords has been redefined

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Example 1: The conic 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 6xy = 1 A is the matrix of the quadratic form A:= Matrix(2,2,[[-1,3],[3,-1]]);

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Find the eigenvalues and eigenvectors of A: evA := [Eigenvectors(A)];

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Normalize the eigenvectors: v1 := Normalize(Column(evA[2],1),Euclidean); v2 := Normalize(Column(evA[2],2),Euclidean);

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

Construct a matrix P which orthogonally diagonalizes A PA := <v1|v2>;

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

Compute the diagonal matrix (since A = 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, we have D = 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AP) DA := Transpose(PA) . A . PA;

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

Make Maple compute the equation of the rotated conic: LHSA := Transpose(<X,Y>) . DA . <X,Y>;

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

The equation is LHSA = 1, which is the equation of a hyperbola. Let's graph; first the conic relative to the new axes: implicitplot(-4*x^2+2*y^2=1,x=-2..2,y=-2..2,scaling=constrained);

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

and then the graph relative to the original axes: v1g := line([0,0],convert(v1,list),color=red,thickness=2): v2g := line([0,0],convert(v2,list),color=red,thickness=2): conic := implicitplot(-x^2-y^2+6*x*y=1,x=-2..2,y=-2..2): display([v1g,v2g,conic],scaling=constrained);

NictSSdDVVJWRVNHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JTckNyQkIiIhRi1GLDckJCIrNXkxcnEhIzVGLy1JJ0NPTE9VUkdGJTYmSSRSR0JHRiUkIiorKysrIiEiKUYsRiwtSSpUSElDS05FU1NHRiU2IyIiIy1GJDYlNyRGKzckJCErNXkxcnFGMUYvRjJGOS1GJDZfcDckNyQkISIjRi0kITNlUTxfY3AzRVYhIz03JCQhM1crKysrK3ZvPiEjPCQhM0ErKysrK103VkZLNyQ3JCQhMyYpKioqKioqKioqKioqUj1GTyQhMzdHOWRHOWRHVEZLRkw3JDckJCEzMysrKysrK1M9Rk8kITNuRzlkRzlkR1RGSzckJCEzWysrK11QTUY9Rk8kITMtKysrK0RjRVRGSzckNyQkITNgPGRHOWRHQzxGTyQhM2MuKysrKysrU0ZLRmhuNyQ3JCQhM3Y8ZEc5ZEdDPEZPRmFvNyQkITMkZmJiYmIwVm8iRk8kITM6WFdXV1clcCZSRks3JDckJCEzOisrKysrKyFvIkZPJCEzWFYnPXJpZHUlUkZLRmdvNyRGXXA3JCQhM1grKytdUE1QOkZPJCEzSisrKytEY0VRRks3JDckJCEzQysrKysrKz86Rk8kITNrXGV0UGdjIXokRktGY3A3JEZpcDckJCEza2RHOWRHUilRIkZPJCEzcEg5ZEc5MjtQRks3JDckJCEzSisrKysrK2c4Rk8kITNmdSZmdzctPG0kRktGX3E3JEZlcTckJCEzNU1MTEwkZWtCIkZPJCEzaW5tbW1tVE5PRks3JDckJCEzUSsrKysrKys3Rk8kITMtPXRxSjI8dE5GS0ZbcjckNyRGYnIkITNZPHRxSjI8dE5GSzckJCEzbCsrKysrdno1Rk8kITNxKysrKytdLU9GSzckNyQkITNbKysrKysrUzVGTyQhMyNmRzlkRzlkYSRGS0ZqcjckRmBzNyQkITNrMisrK10obzkqRkskITMlKSoqKioqKioqXDdgT0ZLNyQ3JCQhM1svKysrKysrKSlGSyQhM3RXLkp6OEM8T0ZLRmZzNyRGXHQ3JCQhM1t2bW1tbTtIdEZLJCEzQktMTExMJDMoUUZLNyQ3JCQhMz0vKysrKysrc0ZLJCEzJHBNLzhSPF8nUUZLRmJ0NyQ3JCQhMydRKysrKysrZyZGSyQhM0UnKioqKioqKioqKipSWEZLNyQkITM3Wkc5ZEc5ZG5GS0ZhbzckNyRGZHUkITMrLisrKysrK1NGS0ZodDckNyRGSUZHNyRGUCQhM0ErKysrK3ZvPkZPNyQ3JEZWRlRGXHY3JDckRmZuRlo3JEZbb0ZpbjckNyRGYW9GX29GY3Y3JDckRmFvRmR1NyRGYXVGX3U3JDckJCEzI28qKioqKioqKioqKlJYRktGX3U3JEZfdUZbdzckNyRGYW9GZW83JEZqbyQhMzpjYmJiYkklbyJGTzckNyRGYHBGXnBGYHc3JEZkdzckJCEzJzMrKytdaWwjUUZLJCEzbisrK11QTVA6Rk83JDckRlxxRmpwRmZ3NyRGXHg3JEZicUZgcTckNyRGaHFGZnFGXng3JEZgeDckRl5yRlxyNyQ3JEZkckZickZieDckNyRGaHJGYnI3JEZdc0ZbczckNyRGY3NGYXNGZ3g3JEZpeDckJCEzUysrKytdN2BPRkskITN2MysrK10obzkqRks3JDckRl90Rl10Rlt5NyRGYXk3JEZldCQhM1F1bW1tbTtIdEZLNyQ3JEZbdUZpdEZjeTckRmd5NyRGaHVGZHU3JDckJCIzKW8qKioqKioqKioqKioqUkZLJCIzKmYnRzlkRzlkbkZLNyQkIjMvW1ZJIlI8XydRRkskIjNfKCoqKioqKioqKioqKj4oRks3JEZgejckJCIzIVJMTExMTDMoUUZLJCIzMWhtbW1tO0h0Rks3JDckJCIzR1guSno4QzxPRkskIjMheSoqKioqKioqKioqKnopRktGZno3JDckRl1bbCQiM3EnKioqKioqKioqKioqeilGSzckJCIzJSkqKioqKioqKlw3YE9GSyQiM0olKioqKioqKlwobzkqRks3JDckJCIzI2ZHOWRHOWRhJEZLJCIzIikqKioqKioqKioqKipSNUZPRmVbbDckNyQkIjNQJkc5ZEc5ZGEkRktGXlxsNyQkIjNmKioqKioqKioqKlwtT0ZLJCIzYSoqKioqKioqKlwoejVGTzckNyQkIjNOO3RxSjI8dE5GSyQiM3MqKioqKioqKioqKioqPiJGT0ZkXGw3JDckJCIzInBKMjx0cUpkJEZLRl1dbDckJCIzJ2ZtbW1tO2FqJEZLJCIzeEtMTEwkZWtCIkZPNyQ3JCQiMy51JmZ3Ny08bSRGSyQiM1UqKioqKioqKioqKipmOEZPRmNdbDckNyRGal1sJCIzbCoqKioqKioqKioqKmY4Rk83JCQiM1pGOWRHOTI7UEZLJCIzYGNHOWRHUilRIkZPNyQ3JCQiMzNcZXRQZ2MheiRGSyQiM2QqKioqKioqKioqKio+OkZPRmJebDckRmhebDckJCIzPyoqKioqKipcaWwjUUZLJCIzTSoqKioqKlxQTVA6Rk83JDckJCIzWFYnPXJpZHUlUkZLJCIzWyoqKioqKioqKioqKno7Rk9GXl9sNyRGZF9sNyQkIjMjSFdXV1dXcCZSRkskIjNnYWJiYmJJJW8iRk83JDckRlx6JCIzYDZkRzlkR0M8Rk9Gal9sNyQ3JCQiMz8oKioqKioqKioqKioqZiZGSyQiMyI9KysrKysrYSVGSzckRmdgbEZlYGw3JEZpYGxGW3o3JEZgYGw3JCQiM1kqKioqKioqXGlsNyVGSyQiMzsqKioqKipcUE1GPUZPNyQ3JCQiMzdHOWRHOWRHVEZLJCIzVCoqKioqKioqKioqKlI9Rk9GXGFsNyRGYmFsNyQkIjM2KioqKioqKioqKlw3VkZLJCIzNioqKioqKioqKlwobz5GTzckNyQkIjNlUTxfY3AzRVZGSyQiM2MqKioqKioqKioqKioqKj5GT0ZoYWw3JDckRmN6RmF6NyRGXnpGXHo3JEZlYmxGZGBsNyRGZGJsNyRGaXokIjNNTExMTEwkMyhRRks3JDckRl9bbEZdW2xGaGJsNyQ3JEZjW2xGXVtsNyRGaFtsJCIzUysrKytdN2BPRks3JDckRl5cbEZcXGxGX2NsNyQ3JEZeXGxGYlxsNyQkIjNLKioqKioqKioqXCh6NUZPRmVcbDckNyRGXV1sRltdbEZmY2w3JDckRl1dbEZhXWw3JEZmXWxGZF1sNyQ3JEZcXmxGal1sRl1kbDckNyRGYF5sRmpdbDckRmVebEZjXmw3JDckRltfbEZpXmxGYmRsNyRGZGRsNyRGYV9sRl9fbDckNyRGZ19sRmVfbEZmZGw3JEZoZGw3JCQiMyNbYmJiYjBWbyJGT0ZbYGw3JDckRmFgbEZcekZqZGw3JEZeZWw3JEZfYWxGXWFsNyQ3JEZlYWxGY2FsRmBlbDckRmJlbDckRltibEZpYWw3JDckRmFibEZfYmxGZGVsLUYzNiZGNSIiIkYtRi0tSStBWEVTTEFCRUxTR0YlNiRJInhHRihJInlHRigtSShTQ0FMSU5HR0YoNiNJLENPTlNUUkFJTkVER0Yl

Subtle point: the axes have been reversed here - to prevent this we should reverse the order we choose v1 and v2 - in general, choose the order of the columns of P so that det(P) = 1. Example 2: The quadric surface 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 +72xz + 150 = 0 B is the matrix of the quadratic form B := Matrix(3,3,[[2,0,36],[0,3,0],[36,0,23]]);

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

Find the eigenvalues and eigenvectors of B evB := [Eigenvectors(B)];

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

Normalize the eigenvectors: w1 := Normalize(Column(evB[2],1),Euclidean); w2 := Normalize(Column(evB[2],2),Euclidean); w3 := Normalize(Column(evB[2],3),Euclidean);

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

Construct a matrix P which orthogonally diagonalizes A: PB := <w1|w2|w3>;

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

Compute the diagonal matrix (since A = 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, we have D = 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AP) DB := Transpose(PB) . B . PB;

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

Make Maple compute the equation of the rotated conic: LHSB := Transpose(<X,Y,Z>) . DB . <X,Y,Z>;

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

The equation is LHSB = -150, which is the equation of a paraboloid of two sheets. Let's graph, first the quadric surface relative to the new axes: implicitplot3d(3*x^2+50*y^2-25*z^2=-150,x=-10..10,y=-10..10,z=-10..10,axes=normal,scaling=constrained,grid=[20,20,20]);

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