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A_Plus_Maple_Handout

# A_Plus_Maple_Handout - Eigenvalues and Eigenvectors...

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(1.2.1) O (1.1.1) O Eigenvalues and Eigenvectors Shortest Template The result of 'eigenvectors' has 3 arguments: 1) eigenvalue 2) multiplicity (ie 1 means not repeated whereas 2 means repeated) 3) eigenvector restart: with(linalg): A:=matrix( [[2,-2],[-1,3]] ); eigen:=eigenvectors(A); Warning, the protected names norm and trace have been redefined and unprotected A := 2 K 2 K 1 3 eigen := 1, 1, 2 1 , 4, 1, K 1 1 2 x 2 restart: with(linalg): A:=matrix( [[2,-2],[-1,3]] ); M:= evalm(-charmat(A,r)); det_M:=-charpoly(A,r); eigen:=eigenvectors(A); `========= 1 =========`; r1:=eigen[1,1]; u1:=<op(eigen[1,3])>; `========= 2 =========`; r2:=eigen[2,1]; u2:=<op(eigen[2,3])>; Warning, the protected names norm and trace have been redefined and unprotected A := 2 K 2 K 1 3 M := K r C 2 K 2 K 1 K r C 3 det_M := K r 2 C 5 r K 4

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