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Avinash
Lv 7
Eigenvalues of A are given. Find det(B) and tr(B) when B is similar to A.?
Update:
A is a 3X3 matrix.
-1, 2, 5 are its eigenvalues.
B is similar to A.
Find det(B) and tr(B)
1 Answer
Relevance
- 4 years ago
Learn these 2 important properties :
1) trace of any matrix = sum of all the
eigen values of that matrix
2) determinant of any matrix =
multiplication of all the eigen values of
that matrix
It is given that B is similar to A
So,
det(B)=det(A)= (-1)×2×5=-10
trace(B)=trace(A)= (-1)+2+5=6
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