(a) Prove if the following matrix have their inverse form or not:K=[[1,1,3,0],[0,-1,0,0],[2,0,2,-1],[1,0,0,-2]](a)Prove if the following matrix have their inverse form or not: 1 1 3 0 0 -1 0 K= 2 0 2 1 0 0
(a) Prove if the following matrix have their inverse form or not:K=[[1,1,3,0],[0,-1,0,0],[2,0,2,-1],[1,0,0,-2]](a)Prove if the following matrix have their inverse form or not: 1 1 3 0 0 -1 0
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SOLVED: Verily, the following properties use any distinct, invertible A and B. 4x4 upper triangular matrices of your choice:The inverse of an upper triangular matrix is upper triangular; (AB)^-1 = B^-1A^-1, trace(AB), trace(BA), det(AB), det(BA).(BONUS mark) Give an example of matrices B such that det(AB) ≠ det(BA).
SOLVED: Verily, the following properties use any distinct, invertible A and B. 4x4 upper triangular matrices of your choice:The inverse of an upper triangular matrix is upper triangular; (AB)^-1 = B^-1A^-1, trace(AB), trace(BA), det(AB), det(BA).(BONUS mark) Give an example of matrices B such that det(AB) ≠ det(BA).
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SOLVED:Given two 3x3 similar matrices A and B. Which of the following statements are true? (check all that apply) There is an invertible matrix P such that A = P-IBPA and B must be symmetricA-1 is similar to B-1A and B may represent the same transformation in R3 relative to two different bases. Aand B have the same characteristic polynomial
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