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what is the highest value for the determinant of a 2*2 symmetric matrix with the trace value of 10 ?

what is the highest value for the determinant of a 2*2 symmetric matrix with the trace value of 10 ?

Grade:12

5 Answers

Purna Pavan Chandra
34 Points
5 years ago
The best possibility for the diagonal elements of the 2*2 matrix with the trace value equal to 10 is 5&5. As the matrix should be symmetric the other two elements should be least identical values i.e., 0&0. Therefore determinant = (5*5)-(0*0) = 25
 
saibhargav
54 Points
5 years ago
25
venky
235 Points
5 years ago
25
Ankit Jaiswal
165 Points
5 years ago
hi 
The best possibility for the diagonal elements of the 2*2 matrix with the trace value equal to 10 is 5&5. As the matrix should be symmetric the other two elements should be least identical values i.e., 0&0. Therefore determinant = (5*5)-(0*0) = 25
 
manmath
49 Points
5 years ago
hii,The best possibility for the diagonal elements of the 2*2 matrix with the trace value equal to 10 is 5&5. As the matrix should be symmetric the other two elements should be least identical values i.e., 0&0. Therefore determinant = (5*5)-(0*0) = 25 

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